Indecomposability of the bounded derived categories of Brill-Noether varieties

Xun Lin; Chenglong Yu

Indecomposability of the bounded derived categories of Brill-Noether varieties

Algebraic Geometry 2021-11-23 v1

Authors: Xun Lin , Chenglong Yu

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 $d\leq g(C)-1$ .

Keywords

bounded derived category Brill-Noether variety coherent sheaves linear series smooth projective curve indecomposability

Cite

@article{arxiv.2111.10997,
  title  = {Indecomposability of the bounded derived categories of Brill-Noether varieties},
  author = {Xun Lin and Chenglong Yu},
  journal= {arXiv preprint arXiv:2111.10997},
  year   = {2021}
}

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