Admissible subcategories in derived categories of moduli of vector bundles on curves

DOI10.1016/j.aim.2019.05.019zbMath1440.14079OpenAlexW2962803960WikidataQ127827906 ScholiaQ127827906MaRDI QIDQ2001586

Pieter Belmans, Swarnava Mukhopadhyay

Publication date: 10 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/21.11116/0000-0004-6ABA-4

zbMATH Keywords

derived categoriesmoduli of vector bundlessemiorthogonal decompositions

Mathematics Subject Classification ID

Fano varieties (14J45) Vector bundles on curves and their moduli (14H60) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (6)

Decompositions of moduli spaces of vector bundles and graph potentials ⋮ Smooth components on special iterated Hilbert schemes ⋮ Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve ⋮ Derived categories of flips and cubic hypersurfaces ⋮ Derived categories of (nested) Hilbert schemes ⋮ The Fourier–Mukai transform of a universal family of stable vector bundles

Cites Work

• Floer cohomology and pencils of quadrics
• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Deformations of the generalised Picard bundle
• Deformations of the moduli space of vector bundles over an algebraic curve
• Classification of vector bundles of rank 2 on hyperelliptic curves
• Submanifolds of Abelian varieties
• Ring structure of the Floer cohomology of \(\Sigma\times S^1\)
• Derived categories of moduli spaces of vector bundles on curves
• Deformations of Picard sheaves and moduli of pairs
• Ampleness equivalence and dominance for vector bundles
• The moduli space of vector bundles over an algebraic curve
• On the Chow motive of some moduli spaces
• Derived categories of curves as components of Fano manifolds
• Semiorthogonal decompositions in algebraic geometry
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