Indecomposability of the bounded derived categories of Brill-Noether varieties

2021/11/22 by Xun Lin, Chenglong Yu, Lin, Xun +1 · 1 citation
Mathematics · #14F08 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F08

paper · pdf · doi:10.48550/arxiv.2111.10997

9 pages. Comments welcome

arxiv created 2021/11/22 · arxiv updated 2021/11/23

Abstract

We prove that the bounded derived category of coherent sheaves of the Brill-Noether variety G^r_d(C) that parametrizing linear series of degree d and dimension r on a general smooth projective curve C is indecomposable when d≤ g(C)-1.

Cited by

• Abel maps for integral curves via a derived perspective

Related

• Semi-orthogonal decomposability of the derived category of a curve
• On linear series with negative Brill-Noether number
• Indecomposability of derived categories for arbitrary schemes
• Derived categories of irreducible projective curves of arithmetic genus one
• Brill-Noether Sheaves