A Torelli type theorem for nodal curves

DOI10.1142/S0129167X21500415zbMath1467.14026arXiv2106.08506OpenAlexW3164347885MaRDI QIDQ5006357

Suratno Basu, Sourav Das

Publication date: 13 August 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08506

zbMATH Keywords

algebraic geometrytorsion free sheavesnodal curvesmoduli of vector bundlesTorelli thorem

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Singularities of curves, local rings (14H20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Torelli problem (14C34)

Related Items (2)

Unnamed Item ⋮ Relative log-symplectic structure on a semi-stable degeneration of moduli of Higgs bundles

Cites Work

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• On a relative Mumford-Newstead theorem
• A degeneration of the moduli space of stable bundles
• Specialization of linear systems from curves to graphs (with an appendix by Brian Conrad)
• Degenerations of the moduli spaces of vector bundles on curves. II. (Generalized Gieseker moduli spaces)
• Torelli theorem for the parabolic Deligne-Hitchin moduli space
• The automorphism group of the moduli space of semi stable vector bundles
• Degeneration of intermediate Jacobians and the Torelli theorem
• Torsionfree sheaves over a nodal curve of arithmetic genus one
• Moduli of vector bundles on a compact Riemann surface
• A Torelli type theorem for the moduli space of parabolic vector bundles over curves
• On the canonical holomorphic map from the Moduli space of stable curves to the Igusa monoidal transform
• A Degeneration of Moduli of Hitchin Pairs
• A Gieseker type degeneration of moduli stacks of vector bundles on curves
• Periods of a Moduli Space of Bundles on Curves

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