The wall-crossing behavior for Bridgeland's stability conditions on abelian and \(K3\) surfaces

DOI10.1515/crelle-2015-0010zbMath1493.14024OpenAlexW2563645356MaRDI QIDQ683506

Shintarou Yanagida, Kōta Yoshioka, Hiroki Minamide

Publication date: 8 February 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2015-0010

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Algebraic theory of abelian varieties (14K05) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (13)

Bridgeland's stabilities on abelian surfaces ⋮ Projectivity and birational geometry of Bridgeland moduli spaces ⋮ Classifying the irreducible components of moduli stacks of torsion free sheaves on \(K3\) surfaces and an application to Brill-Noether theory ⋮ The stable cohomology of moduli spaces of sheaves on surfaces ⋮ The nef cone of the moduli space of sheaves and strong Bogomolov inequalities ⋮ Fourier-Mukai duality for \(K3\) surfaces via Bridgeland stability condition ⋮ Stability conditions and extremal contractions ⋮ \(R\)-linear triangulated categories and stability conditions ⋮ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations ⋮ Lectures on Non-commutative K3 Surfaces, Bridgeland Stability, and Moduli Spaces ⋮ Nef divisors for moduli spaces of complexes with compact support ⋮ MMP via wall-crossing for moduli spaces of stable sheaves on an Enriques surface ⋮ Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. II.

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