Stability conditions on degenerated elliptic curves
Tomohiro Karube
TL;DR
This paper investigates stability conditions on reducible Kodaira curves, derived from degenerations of elliptic curves, by describing their connected components and computing their symmetry groups.
Contribution
It provides a detailed analysis of the structure of stability condition spaces on degenerated elliptic curves, including their connected components and automorphism groups.
Findings
Connected components of stability condition spaces are characterized.
Groups of deck transformations for these components are computed.
Results enhance understanding of derived categories on degenerated elliptic curves.
Abstract
We study stability conditions on reducible Kodaira curves obtained from degenerations of elliptic curves. We describe connected components of the spaces of stability conditions and compute the groups of deck transformations of those connected components.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry