Cohomology bounds and Chern class inequalities for stable sheaves on a smooth projective variety

DOI10.1007/s13226-022-00297-8OpenAlexW4291144326MaRDI QIDQ6114145

Tohru Nakashima

Publication date: 14 August 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-022-00297-8

zbMATH Keywords

moduli spacesBogomolov-Gieseker type inequality\(\mu\)-semistable sheaves

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32)

Cites Work

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• Tilt-stability, vanishing theorems and Bogomolov-Gieseker type inequalities
• A note on restriction theorems for semistable sheaves
• Higher Brill-Noether loci and Bogomolov-Gieseker-type inequality
• Effective bounds for semistable sheaves on a threefold
• The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds
• Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities

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