Derived categories of moduli spaces of vector bundles on curves

DOI10.1016/j.geomphys.2017.01.018zbMath1390.14099OpenAlexW2581910127MaRDI QIDQ1676419

M. S. Narasimhan

Publication date: 7 November 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.01.018

zbMATH Keywords

Picard groupalgebraic curvesFourier-Mukai transformmoduli space of bundles

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Derived categories and associative algebras (16E35)

Related Items

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 ⋮ Fano visitors, Fano dimension and Fano orbifolds ⋮ Derived category of moduli of parabolic bundles on $\mathbb{P}^1$ ⋮ Derived categories of (nested) Hilbert schemes ⋮ Derived categories of curves as components of Fano manifolds ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Admissible subcategories in derived categories of moduli of vector bundles on curves ⋮ Semi-orthogonal decomposition of symmetric products of curves and canonical system ⋮ Embedding derived categories of Enriques surfaces in derived categories of Fano varieties ⋮ On vector bundles over moduli spaces trivial on Hecke curves ⋮ The Fourier–Mukai transform of a universal family of stable vector bundles ⋮ Derived Categories of Moduli Spaces of Vector Bundles on Curves II

Cites Work

• 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
• Vanishing theorems on complex manifolds
• Deformations of the moduli space of vector bundles over an algebraic curve
• Deformations of Picard sheaves and moduli of pairs
• The moduli space of vector bundles over an algebraic curve
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