Compact moduli spaces for slope-semistable sheaves

DOI10.14231/AG-2017-003zbMath1423.14076arXiv1303.2480MaRDI QIDQ5275121

Daniel Greb, Matei Toma

Publication date: 10 July 2017

Published in: Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2480

zbMATH Keywords

moduli of sheavesdeterminant line bundlewall-crossingDonaldson-Uhlenbeck compactificationslop-stability

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Moduli problems for differential geometric structures (58D27) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (13)

Semi-stable vector bundles on fibred varieties ⋮ Convexity and Zariski decomposition structure ⋮ Foliations with positive slopes and birational stability of orbifold cotangent bundles ⋮ Amplified endomorphisms of Fano fourfolds ⋮ Moduli spaces of rank two ACM bundles on the Segre product of three projective lines ⋮ Hodge-Riemann bilinear relations for Schur classes of ample vector bundles ⋮ A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families ⋮ Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces ⋮ Moduli spaces of sheaves that are semistable with respect to a Kähler polarisation ⋮ Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones ⋮ Complex algebraic compactifications of the moduli space of Hermitian Yang-Mills connections on a projective manifold ⋮ Bounded sets of sheaves on relative analytic spaces ⋮ Compactness for \(\Omega\)-Yang-Mills connections

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