A Remark on Stability Conditions on Smooth Projective Varieties

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Li, Chunyi
DOI: 10.48550/arxiv.2601.22994
Cited by: 0

Abstract

Let $X$ be a smooth projective variety over $\mathbb C$. In this paper, we prove that $\mathrm{D}^b(X)$, the bounded derived category of coherent sheaves on $X$, always admits stability conditions in the sense of Bridgeland.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Algebraic structures and combinatorial models Geometry and complex manifolds

Publication details

Journal / source
arXiv (Cornell University)
Publication date
30 January 2026
Document type
Preprint