Abstract:
It is prored that the space of moduli of stable bundles over a curve with fixed determinant and relatively prime degree and dimension uniquely determines the curve.
Citation:
A. N. Tyurin, “Analogs of Torelli's theorem for multidimensional vector bundles over an arbitrary algebraic curve”, Math. USSR-Izv., 4:2 (1970), 343–370
\Bibitem{Tyu70}
\by A.~N.~Tyurin
\paper Analogs of Torelli's theorem for multidimensional vector bundles over an arbitrary algebraic curve
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 343--370
\mathnet{http://mi.mathnet.ru/eng/im2419}
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000909}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=265372}
\zmath{https://zbmath.org/?q=an:0225.14010}
Linking options:
https://www.mathnet.ru/eng/im2419
https://doi.org/10.1070/IM1970v004n02ABEH000909
https://www.mathnet.ru/eng/im/v34/i2/p338
This publication is cited in the following 5 articles:
David Alfaya, Indranil Biswas, Tomás L. Gómez, Swarnava Mukhopadhyay, “Torelli theorem for moduli stack of vector bundles and principal G-bundles”, Journal of Geometry and Physics, 2024, 105350
S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and His Mathematical Heritage”, Proc. Steklov Inst. Math., 307 (2019), 1–21
F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich, “Andrei Nikolaevich Tyurin (obituary)”, Russian Math. Surveys, 58:3 (2003), 597–605
S. A. Kuleshov, “Stable bundles on K3 surfaces”, Math. USSR-Izv., 36:1 (1991), 223–230
A. N. Tyurin, “The geometry of moduli of vector bundles”, Russian Math. Surveys, 29:6 (1974), 57–88
Citation in format AMSBIB
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