Tsikh Avgust Karlovich

Statistics Math-Net.Ru
Total publications: 28
Scientific articles: 28
Presentations: 8

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Abstract pages:9798
Full texts:2731
Doctor of physico-mathematical sciences
Keywords: discriminant locus, linearization of algebraic set, logarithmic Gauss mapping.
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Publications in Math-Net.Ru
1. Rational expressions for multiple roots of algebraic equations
I. A. Antipova, E. N. Mikhalkin, A. K. Tsikh
Mat. Sb., 209:10 (2018),  3–30
2. On the structure of the classical discriminant
Evgeny N. Mikhalkin, Avgust K. Tsikh
J. Sib. Fed. Univ. Math. Phys., 8:4 (2015),  426–436
3. Singular strata of cuspidal type for the classical discriminant
E. N. Mikhalkin, A. K. Tsikh
Mat. Sb., 206:2 (2015),  119–148
4. On the asymptotic of homological solutions to linear multidimensional difference equations
Natalia A. Bushueva, Konstantin V. Kuzvesov, Avgust K. Tsikh
J. Sib. Fed. Univ. Math. Phys., 7:4 (2014),  417–430
5. The discriminant locus of a system of $n$ Laurent polynomials in $n$ variables
I. A. Antipova, A. K. Tsikh
Izv. RAN. Ser. Mat., 76:5 (2012),  29–56
6. On amoebas of algebraic sets of higher codimension
N. A. Bushueva, A. K. Tsikh
Tr. Mat. Inst. Steklova, 279 (2012),  59–71
7. On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics
Dmitry Yu. Pochekutov, Avgust K. Tsikh
J. Sib. Fed. Univ. Math. Phys., 2:4 (2009),  483–493
8. Domains of Convergence of Hypergeometric Series of Several Complex Variables
Anastasiya Yu. Semusheva, August K. Tsikh
J. Sib. Fed. Univ. Math. Phys., 2:2 (2009),  221–229
9. Multi-Logarithmic Differential Forms on Complete Intersections
Alexandr G. Aleksandrov, Avgust K. Tsikh
J. Sib. Fed. Univ. Math. Phys., 1:2 (2008),  105–124
10. Multidimensional versions of Poincaré's theorem for difference equations
E. K. Leinartas, M. Passare, A. K. Tsikh
Mat. Sb., 199:10 (2008),  87–104
11. Residue currents
A. Yger, A. K. Tsikh
Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 108 (2006),  181–264
12. Residual Kernels with Singularities on Coordinate Planes
A. V. Shchuplev, A. K. Tsikh, A. Yger
Tr. Mat. Inst. Steklova, 253 (2006),  277–295
13. Asymptotics of multidimensional difference equations
E. K. Leinartas, M. Passare, A. K. Tsikh
Uspekhi Mat. Nauk, 60:5(365) (2005),  171–172
14. Integral representations in linearly convex polyhedra
V. P. Krivokolesko, A. K. Tsikh
Sibirsk. Mat. Zh., 46:3 (2005),  579–593
15. Investigation of multiple Mellin–Barnes integrals by means of multidimensional residues
O. N. Zhdanov, A. K. Tsikh
Sibirsk. Mat. Zh., 39:2 (1998),  281–298
16. Integration of rational functions over $\mathbb R^n$ by means of toric compactifications and multidimensional residues
T. O. Ermolaeva, A. K. Tsikh
Mat. Sb., 187:9 (1996),  45–64
17. Iterated Mellin–Barnes integrals as periods on the Calabi–Yau manifolds with several modules
M. Passare, A. K. Tsikh, A. A. Cheshel
TMF, 109:3 (1996),  381–394
18. On the structure of residue currents and functionals orthogonal to ideals in the space of holomorphic functions
V. M. Trutnev, A. K. Tsikh
Izv. RAN. Ser. Mat., 59:5 (1995),  203–224
19. Homology reduction of cycles in the complement of an algebraic hypersurface
N. A. Buruchenko, A. K. Tsikh
Mat. Sb., 186:10 (1995),  31–40
20. Conditions for absolute convergence of the Taylor coefficient series of a meromorphic function of two variables
A. K. Tsikh
Mat. Sb., 182:11 (1991),  1588–1612
21. Cohomology of rational differential forms of degree $n$ in the space $\mathbb C^n$
A. A. Alyakrinskii, A. K. Tsikh
Mat. Zametki, 43:4 (1988),  522–532
22. Weakly holomorphic functions on complete intersections, and their holomorphic extension
A. K. Tsikh
Mat. Sb. (N.S.), 133(175):4(8) (1987),  429–445
23. Higher-dimensional residues and their applications. Chapter 3
A. K. Tsikh
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 8 (1985),  45–64
24. A generalization of Bertini's theorem on the index of a prime ideal in the ring $O_a$
A. K. Tsikh
Uspekhi Mat. Nauk, 40:2(242) (1985),  205–206
25. Singularities of the Grothendieck parametric residue and diagonals of a double power series
K. V. Safonov, A. K. Tsikh
Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 4,  51–58
26. Local residues in $\mathbf C^n$. Algebraic applications
A. K. Tsikh
Mat. Sb. (N.S.), 123(165):2 (1984),  230–242
27. A theorem on a complete sum of residues in $\mathbb CP^n$
A. K. Tsikh
Uspekhi Mat. Nauk, 34:6(210) (1979),  207–210
28. The two-dimensional homology group of the complement of an algebraic curve in $CP^2$
A. K. Tsikh
Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 5,  122–124

Presentations in Math-Net.Ru
1. Multiple roots of polynomial systems
A. K. Tsikh
Международная конференция по комплексному анализу, посвященная 75-летию Е. М. Чирки
December 4, 2017 14:00   
2. 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   
3. Rational expressions for multiple roots of algebraic equations
A. K. Tsikh
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 16, 2016 16:45
4. О структуре универсальной алгебраической функции
A. K. Tsikh
International conference on algebraic geometry, complex analysis and computer algebra
August 5, 2016 10:50
5. 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   
6. 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   
7. Amoebas of complex analytic sets
Avgust Tsikh
Russian–German conference on Several Complex Variables
February 27, 2012 15:30   
8. 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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