Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces

DOI10.1007/PL00004557zbMath0884.14014OpenAlexW4239821746MaRDI QIDQ5961425

Lothar Goettsche

Publication date: 13 April 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174918

zbMATH Keywords

polarizationruled surfacessemi-stabilitychange in the moduli spaceHodge numbersmoduli space for torsion-free sheaves

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Families, moduli, classification: algebraic theory (14J10) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Hypersurfaces and algebraic geometry (14J70)

Related Items (11)

Twisted sheaves and \(\text{SU}(r) / {\mathbb{Z}}_r\) Vafa-Witten theory ⋮ The stable cohomology of moduli spaces of sheaves on surfaces ⋮ Virtual refinements of the Vafa-Witten formula ⋮ On the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces ⋮ Some moduli spaces of 1-dimensional sheaves on an elliptic ruled surface ⋮ Chamber structure and wallcrossing in the ADHM theory of curves. I ⋮ On the Segre invariant for rank two vector bundles on \(\mathbb{P}^2\) ⋮ Riemann-Roch theorems and elliptic genus for virtually smooth schemes ⋮ On the rationality of moduli spaces of vector bundles on Fano surfaces ⋮ Euler characteristics of moduli spaces of torsion free sheaves on toric surfaces ⋮ Equivariant sheaves.

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