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 Tr. Mat. Inst. Steklova, 2004, Volume 246, Pages 10–19 (Mi tm143)

Topologically Trivial Sheaves on Curves with Simplest Singularities

I. V. Artamkin

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Topologically trivial vector bundles on nodal curves were considered in Tyurin's book Quantization, Classical and Quantum Field Theory, and Theta Functions. In the present paper, a compactification of the moduli of such vector bundles by topologically trivial torsion-free sheaves is constructed, and a stability criterion for topologically trivial sheaves of ranks $1$ and $2$ is given.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2004, 246, 3–12

Bibliographic databases:
UDC: 512.7

Citation: I. V. Artamkin, “Topologically Trivial Sheaves on Curves with Simplest Singularities”, Algebraic geometry: Methods, relations, and applications, Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences, Tr. Mat. Inst. Steklova, 246, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 10–19; Proc. Steklov Inst. Math., 246 (2004), 3–12

Citation in format AMSBIB
\Bibitem{Art04} \by I.~V.~Artamkin \paper Topologically Trivial Sheaves on Curves with Simplest Singularities \inbook Algebraic geometry: Methods, relations, and applications \bookinfo Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences \serial Tr. Mat. Inst. Steklova \yr 2004 \vol 246 \pages 10--19 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \mathnet{http://mi.mathnet.ru/tm143} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2101281} \zmath{https://zbmath.org/?q=an:1116.14029} \transl \jour Proc. Steklov Inst. Math. \yr 2004 \vol 246 \pages 3--12 

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This publication is cited in the following articles:
1. I. V. Artamkin, “Orthogonal duality of toric Fano varieties with regular involution”, Russian Math. Surveys, 61:3 (2006), 553–554
2. I. V. Artamkin, “Discrete Torelli theorem”, Sb. Math., 197:8 (2006), 1109–1120
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