Bridgeland's stabilities on abelian surfaces

2012/03/05 by Shintarou Yanagida, Yanagida, Shintarou, Kōta Yoshioka +2 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1203.0884

24 pages

arxiv created 2012/03/05 · openalex publication_date 2012/03/05 · arxiv updated 2012/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we shall study the structure of walls for Bridgeland's stability conditions on abelian surfaces. In particular, we shall study the structure of walls for the moduli spaces of rank 1 complexes on an abelian surface with the Picard number 1.

Cited by

• Nef cones of Hilbert schemes of points on some K3 surfaces
• Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle
• Wall crossing of the moduli spaces of perverse coherent sheaves on a blow-up

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