Some examples of spaces of stability conditions on derived categories
Emanuele Macri
TL;DR
This paper explores the structure of stability conditions on derived categories of coherent sheaves, providing a complete description for curves and partial insights for projective spaces and del Pezzo surfaces.
Contribution
It offers a comprehensive analysis of the stability manifold for smooth projective curves and investigates a connected subset for certain higher-dimensional varieties.
Findings
Complete description of stability manifold for smooth projective curves
Identification of a connected open subset for projective spaces and del Pezzo surfaces
Insights into the geometric structure of stability conditions
Abstract
We study stability conditions on the derived categories of coherent sheaves on some projective varieties. We give a complete description of the stability manifold for smooth projective curves and we examine a connected open subset of the stability manifold for projective spaces and del Pezzo surfaces.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Algebra and Geometry