Indecomposability of the bounded derived categories of Brill-Noether varieties

Abstract

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

arXiv comment9 pages. Comments welcome

References in corpus (7)

• Semiorthogonal decompositions in algebraic geometry
• Nonexistence of semiorthogonal decompositions and sections of the canonical bundle
• Stably semiorthogonally indecomposable varieties
• Derived categories of Quot schemes of locally free quotients
• On nonexistence of semi-orthogonal decompositions in algebraic geometry
• Derived categories of Quot schemes of locally free quotients via categorified Hall products
• Paracanonical base locus, Albanese morphism, and semi-orthogonal indecomposability of derived categories