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arXiv · 2111.10997

Indecomposability of the bounded derived categories of Brill-Noether varieties

Xun Lin·Chenglong Yu
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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 $d\leq g(C)-1$.

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Xun Lin, Chenglong Yu. 2021-11-22. Indecomposability of the bounded derived categories of Brill-Noether varieties. https://arxiv.org/abs/2111.10997

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