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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
Matvey E. Durakov, Roman V. Ulvert, August K. Tsikh, “On the non-standard interpolations in $\mathbb{C}^n$ and combinatorial coefficients for Weil polyhedra”, J. Sib. Fed. Univ. Math. Phys., 16:6 (2023), 758–772 |
2. |
Irina A. Antipova, Timofey A. Efimov, Avgust K. Tsikh, “Mellin transforms for rational functions with quasi-elliptic denominators”, J. Sib. Fed. Univ. Math. Phys., 16:6 (2023), 738–750 |
3. |
M. E. Durakov, E. K. Leinartas, A. K. Tsikh, “Multidimensional Hermite interpolation”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 700–710 |
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2022 |
4. |
Evgeny D. Leinartas, August K. Tsikh, “On a multidimensional version of the principal theorem of difference equations with constant coefficients”, J. Sib. Fed. Univ. Math. Phys., 15:1 (2022), 125–132 |
2
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2020 |
5. |
E. N. Mikhalkin, V. A. Stepanenko, A. K. Tsikh, “Geometry of factorization identities for discriminants”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020), 21–25 ; Dokl. Math., 102:1 (2020), 279–282 |
2
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2019 |
6. |
Lisa Nilsson, Mikael Passare, August K. Tsikh, “Domains of convergence for $A$-hypergeometric series and integrals”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 509–529 |
8
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2018 |
7. |
Irina A. Antipova, Evgeny N. Mikhalkin, Avgust K. Tsikh, “Singular points of complex algebraic hypersurfaces”, J. Sib. Fed. Univ. Math. Phys., 11:6 (2018), 670–679 |
1
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8. |
I. A. Antipova, E. N. Mikhalkin, A. K. Tsikh, “Rational expressions for multiple roots of algebraic equations”, Mat. Sb., 209:10 (2018), 3–30 ; Sb. Math., 209:10 (2018), 1419–1444 |
5
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2015 |
9. |
Evgeny N. Mikhalkin, Avgust K. Tsikh, “On the structure of the classical discriminant”, J. Sib. Fed. Univ. Math. Phys., 8:4 (2015), 426–436 |
1
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10. |
E. N. Mikhalkin, A. K. Tsikh, “Singular strata of cuspidal type for the classical discriminant”, Mat. Sb., 206:2 (2015), 119–148 ; Sb. Math., 206:2 (2015), 282–310 |
6
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2014 |
11. |
Natalia A. Bushueva, Konstantin V. Kuzvesov, Avgust K. Tsikh, “On the asymptotic of homological solutions to linear multidimensional difference equations”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014), 417–430 |
2
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2012 |
12. |
I. A. Antipova, A. K. Tsikh, “The discriminant locus of a system of $n$ Laurent polynomials in $n$ variables”, Izv. RAN. Ser. Mat., 76:5 (2012), 29–56 ; Izv. Math., 76:5 (2012), 881–906 |
15
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13. |
N. A. Bushueva, A. K. Tsikh, “On amoebas of algebraic sets of higher codimension”, Trudy Mat. Inst. Steklova, 279 (2012), 59–71 ; Proc. Steklov Inst. Math., 279 (2012), 52–63 |
8
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2009 |
14. |
Dmitry Yu. Pochekutov, Avgust K. Tsikh, “On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics”, J. Sib. Fed. Univ. Math. Phys., 2:4 (2009), 483–493 |
3
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15. |
Anastasiya Yu. Semusheva, August K. Tsikh, “Domains of Convergence of Hypergeometric Series of Several Complex Variables”, J. Sib. Fed. Univ. Math. Phys., 2:2 (2009), 221–229 |
2
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2008 |
16. |
Alexandr G. Aleksandrov, Avgust K. Tsikh, “Multi-Logarithmic Differential Forms on Complete Intersections”, J. Sib. Fed. Univ. Math. Phys., 1:2 (2008), 105–124 |
5
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17. |
E. K. Leinartas, M. Passare, A. K. Tsikh, “Multidimensional versions of Poincaré's theorem for difference equations”, Mat. Sb., 199:10 (2008), 87–104 ; Sb. Math., 199:10 (2008), 1505–1521 |
14
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2006 |
18. |
A. Yger, A. K. Tsikh, “Residue currents”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 108 (2006), 181–264 ; J. Math. Sci. (N. Y.), 120:6 (2004), 1916–1971 |
13
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19. |
A. V. Shchuplev, A. K. Tsikh, A. Yger, “Residual Kernels with Singularities on Coordinate Planes”, Trudy Mat. Inst. Steklova, 253 (2006), 277–295 ; Proc. Steklov Inst. Math., 253 (2006), 256–274 |
13
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2005 |
20. |
E. K. Leinartas, M. Passare, A. K. Tsikh, “Asymptotics of multidimensional difference equations”, Uspekhi Mat. Nauk, 60:5(365) (2005), 171–172 ; Russian Math. Surveys, 60:5 (2005), 977–978 |
2
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21. |
V. P. Krivokolesko, A. K. Tsikh, “Integral representations in linearly convex polyhedra”, Sibirsk. Mat. Zh., 46:3 (2005), 579–593 ; Siberian Math. J., 46:3 (2005), 453–466 |
7
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1998 |
22. |
O. N. Zhdanov, A. K. Tsikh, “Investigation of multiple Mellin–Barnes integrals by means of multidimensional residues”, Sibirsk. Mat. Zh., 39:2 (1998), 281–298 ; Siberian Math. J., 39:2 (1998), 245–260 |
48
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1996 |
23. |
T. O. Ermolaeva, A. K. Tsikh, “Integration of rational functions over $\mathbb R^n$ by means of toric compactifications and multidimensional residues”, Mat. Sb., 187:9 (1996), 45–64 ; Sb. Math., 187:9 (1996), 1301–1318 |
10
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24. |
M. Passare, A. K. Tsikh, A. A. Cheshel, “Iterated Mellin–Barnes integrals as periods on the Calabi–Yau manifolds with several modules”, TMF, 109:3 (1996), 381–394 ; Theoret. and Math. Phys., 109:3 (1996), 1544–1555 |
31
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1995 |
25. |
V. M. Trutnev, A. K. Tsikh, “On the structure of residue currents and functionals orthogonal to ideals in the space of holomorphic functions”, Izv. RAN. Ser. Mat., 59:5 (1995), 203–224 ; Izv. Math., 59:5 (1995), 1083–1102 |
5
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26. |
N. A. Buruchenko, A. K. Tsikh, “Homology reduction of cycles in the complement of an algebraic hypersurface”, Mat. Sb., 186:10 (1995), 31–40 ; Sb. Math., 186:10 (1995), 1417–1427 |
2
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1992 |
27. |
M. Passare, A. Tsikh, “On the relations between the local structure of holomorphic
mappings, multidimensional residues and generalized Mellin transforms”, Dokl. Akad. Nauk, 325:4 (1992), 664–667 ; Dokl. Math., 46:1 (1993), 88–91 |
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1991 |
28. |
A. K. Tsikh, “Conditions for absolute convergence of the Taylor coefficient series of a meromorphic function of two variables”, Mat. Sb., 182:11 (1991), 1588–1612 ; Math. USSR-Sb., 74:2 (1993), 337–360 |
16
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1989 |
29. |
A. K. Tsikh, “Integrals of rational functions over the space $\mathbf{R}^n$”, Dokl. Akad. Nauk SSSR, 307:6 (1989), 1325–1329 ; Dokl. Math., 40:1 (1990), 258–262 |
3
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1988 |
30. |
A. A. Alyakrinskii, A. K. Tsikh, “Cohomology of rational differential forms of degree $n$ in the space $\mathbb C^n$”, Mat. Zametki, 43:4 (1988), 522–532 ; Math. Notes, 43:4 (1988), 301–307 |
1
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1987 |
31. |
A. K. Tsikh, “Weakly holomorphic functions on complete intersections, and their holomorphic extension”, Mat. Sb. (N.S.), 133(175):4(8) (1987), 429–445 ; Math. USSR-Sb., 61:2 (1988), 421–436 |
7
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1985 |
32. |
A. K. Tsikh, “Higher-dimensional residues and their applications. Chapter 3”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 8 (1985), 45–64 |
2
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33. |
A. K. Tsikh, “A generalization of Bertini's theorem on the index of a prime ideal in the ring $O_a$”, Uspekhi Mat. Nauk, 40:2(242) (1985), 205–206 ; Russian Math. Surveys, 40:2 (1985), 241–242 |
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1984 |
34. |
A. K. Tsikh, “Criteria for representability of integrals over cycles by
Grothendieck residues”, Dokl. Akad. Nauk SSSR, 277:5 (1984), 1083–1087 |
1
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35. |
K. V. Safonov, A. K. Tsikh, “Singularities of the Grothendieck parametric residue and diagonals of a double power series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 4, 51–58 ; Soviet Math. (Iz. VUZ), 28:4 (1984), 65–74 |
2
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36. |
A. K. Tsikh, “Local residues in $\mathbf C^n$. Algebraic applications”, Mat. Sb. (N.S.), 123(165):2 (1984), 230–242 ; Math. USSR-Sb., 51:1 (1985), 225–237 |
1
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37. |
A. K. Tsikh, A. P. Yuzhakov, “Properties of the complete sum of residues with respect to a polynomial mapping, and their applications”, Sibirsk. Mat. Zh., 25:4 (1984), 207–213 ; Siberian Math. J., 25:4 (1984), 677–682 |
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1980 |
38. |
L. A. Aizenberg, V. A. Bolotov, A. K. Tsikh, “On the solution of systems of nonlinear algebraic equations using the multidimensional logarithmic residue. On the solvability in radicals”, Dokl. Akad. Nauk SSSR, 252:1 (1980), 11–14 |
1
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1979 |
39. |
A. K. Tsikh, “A theorem on a complete sum of residues in $\mathbb CP^n$”, Uspekhi Mat. Nauk, 34:6(210) (1979), 207–210 ; Russian Math. Surveys, 34:6 (1979), 246–249 |
40. |
L. A. Aizenberg, A. K. Tsikh, “Application of a multidimensional logarithmic residue to systems of nonlinear algebraic equations”, Sibirsk. Mat. Zh., 20:4 (1979), 699–707 ; Siberian Math. J., 20:4 (1979), 485–491 |
2
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1978 |
41. |
A. P. Yuzhakov, A. K. Tsikh, “The multiplicity of the zero of a system of holomorphic functions”, Sibirsk. Mat. Zh., 19:3 (1978), 693–697 ; Siberian Math. J., 19:3 (1978), 489–492 |
6
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1977 |
42. |
A. K. Tsikh, “The two-dimensional homology group of the complement of an algebraic curve in $CP^2$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 5, 122–124 |
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1975 |
43. |
A. K. Tsikh, “Cycles that separate the zeros of analytic functions in $C^n$”, Sibirsk. Mat. Zh., 16:5 (1975), 1118–1121 ; Siberian Math. J., 16:5 (1975), 859–862 |
3
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2022 |
44. |
F. A. Bogomolov, S. O. Gorchinskiy, A. B. Zheglov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, A. N. Parshin, V. L. Popov, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Reid, A. G. Sergeev, D. V. Treschev, A. K. Tsikh, I. A. Cheltsov, E. M. Chirka, “Viktor Stepanovich Kulikov (on his 70th birthday)”, Uspekhi Mat. Nauk, 77:3(465) (2022), 179–181 ; Russian Math. Surveys, 77:3 (2022), 555–557 |
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2018 |
45. |
A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Uspekhi Mat. Nauk, 73:6(444) (2018), 204–210 ; Russian Math. Surveys, 73:6 (2018), 1137–1144 |
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Presentations in Math-Net.Ru |
1. |
Нестандартные интерполяции в $\mathbb C^n$ A. K. Tsikh
November 7, 2022 15:00
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2. |
Logarithmic Gauss mapping as branched covering A. K. Tsikh
Seminar "Complex analysis in several variables" (Vitushkin Seminar) November 2, 2022 16:45
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3. |
Counting function in complex and tropical algebraic geometry A. K. Tsikh
Algebra and geometry: conference on the occasion of V.S. Kulikov 70th
birthday May 24, 2022 11:00
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4. |
Multivariate Hermite interpolation A. K. Tsikh
Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 16, 2022 17:00
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5. |
Multidimensional residues and interpolations A. K. Tsikh
Virtual Workshop “Complex Analysis and Geometry” November 19, 2021 15:00
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6. |
Amoebas, residues and algebraic interpolations A. K. Tsikh
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 15, 2021 15:00
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7. |
Региональный научно-образовательный математический центр «Красноярский математический центр» A. K. Tsikh
General Meeting of the Branch of Mathematical Sciences, RAS, 2021 April 19, 2021 13:40
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8. |
Counting function in complex and tropical geometries A. K. Tsikh
Seminar "Complex analysis in several variables" (Vitushkin Seminar) March 24, 2021 16:45
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9. |
Convexity properties for complements of analytic sets and their amoebas August Tsikh
Conference on Complex Analysis and Mathematical Physics, dedicated to the 70th birthday of A. G. Sergeev March 21, 2019 13:10
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10. |
Multiple roots of polynomial systems A. K. Tsikh
International Conference on Complex Analysis, dedicated of 75th anniversary E. M. Chirki December 4, 2017 14:00
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11. |
Logarithmic Gauss mapping for complex surfaces and solutions to algebraic equations A. K. Tsikh
International Conference "Geometric Analysis and Control Theory" December 10, 2016 10:40
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12. |
Rational expressions for multiple roots of algebraic equations A. K. Tsikh
Seminar "Complex analysis in several variables" (Vitushkin Seminar) November 16, 2016 16:45
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13. |
О структуре универсальной алгебраической функции A. K. Tsikh
International conference on algebraic geometry, complex analysis and computer algebra August 5, 2016 10:50
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14. |
New versions of the Cauchy-Kovalevskaya theorem and the Weierstrass preparation theorem A. K. Tsikh
The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics May 12, 2016 11:20
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15. |
О структуре общей алгебраической функции и ее дискриминанта A. K. Tsikh
One-day conference "Complex Analysis and Geometry" dedicated to the memory of A. G. Vituskin October 7, 2014 11:40
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16. |
Amoebas of complex analytic sets Avgust Tsikh
Russian–German conference on Several Complex Variables February 27, 2012 15:30
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17. |
Amoebas in higher codimensions and difference equations A. K. Tsikh
Second Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics October 10, 2008 10:00
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