A stability condition for line bundles on reducible varieties

DOI10.1016/j.jpaa.2019.01.009zbMath1423.14249OpenAlexW2911258736MaRDI QIDQ2001392

Atoshi Chowdhury

Publication date: 3 July 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2019.01.009

zbMATH Keywords

moduli spacessemistable sheaveshigher-dimensional varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20)

Cites Work

• Semistable modifications of families of curves and compactified Jacobians
• Lectures on moduli of curves. Notes by D. R. Gokhale
• Degenerations of the moduli spaces of vector bundles on curves. I
• Compactifying the Picard scheme
• On the moduli of vector bundles on an algebraic surface
• Moduli of stable sheaves. II
• Moduli of representations of the fundamental group of a smooth projective variety. I
• The Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves
• Bubble tree compactification of moduli spaces of vector bundles on surfaces
• Good moduli spaces for Artin stacks
• Compactifying the relative Jacobian over families of reduced curves
• Compactifications of the Generalized Jacobian Variety
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
• A Compactification over \overline{𝑀_{𝑔}} of the Universal Moduli Space of Slope-Semistable Vector Bundles
• On a new compactification of the moduli of vector bundles on a surface

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