Moduli Spaces of Semistable Sheaves on Singular Genus 1 Curves

DOI10.1093/imrn/rnp094zbMath1228.14009arXiv0806.2034OpenAlexW3105786817MaRDI QIDQ3652604

Ana Cristina López Martín, Daniel Hernandez Ruiperez, Darío Sánchez Gómez, Carlos Tejero Prieto

Publication date: 15 December 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2034

Mathematics Subject Classification ID

Picard groups (14C22)

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Derived equivalences and Kodaira fibers ⋮ Fine compactified Jacobians of reduced curves ⋮ Twisted spectral correspondence and torus knots ⋮ Interactions between autoequivalences, stability conditions, and moduli problems ⋮ An example of the Langlands correspondence for irregular rank two connections on \(\mathbb P^1\) ⋮ Stability and Fourier-Mukai transforms on elliptic fibrations ⋮ Simple vector bundles on plane degenerations of an elliptic curve ⋮ Vector bundles on degenerations of elliptic curves and Yang–Baxter equations ⋮ Fourier-Mukai partners of singular genus one curves ⋮ Vector bundles on plane cubic curves and the classical Yang-Baxter equation ⋮ Perversity equals weight for Painlevé spaces ⋮ Torsion free sheaves on Weierstrass cubic curves and the classical Yang-Baxter equation

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