Towards a specialization map modulo semi-orthogonal decompositions

2018/10/07 by Xiaowen Hu, Hu, Xiaowen · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1810.03220

openalex publication_date 2018/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a conjecture on the existence of a specialization map for derived categories of smooth proper varieties modulo semi-orthogonal decompositions, and verify it for K3 surfaces and abelian varieties.

Citations

• Specialization of birational types
• Deformation of exceptional collections
• Geometry and analytic theory of Frobenius manifolds

Cited by

• Moduli spaces of semiorthogonal decompositions in families

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