Semiorthogonal indecomposability of minimal irregular surfaces

2023/04/27 by Shinnosuke Okawa, Okawa, Shinnosuke · 1 citation
Physics and Astronomy · Mathematics · Computer Science · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2304.14048

Abstract

We prove a relative version of the fact that semiorthogonal decompositions of the bounded derived category of coherent sheaves are strongly constrained by the base locus of the canonical linear system. As an application we prove that the derived category of minimal surfaces X with H¹ (X,O_X) ≠ 0 are semiorthogonally indecomposable.

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• Admissible subcategories supported on curves

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