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arXiv · 1409.0806

A remark on the generic vanishing of Koszul cohomology

Jie Wang
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Abstract

We give a sufficient condition to study the vanishing of certain Koszul cohomology groups for general pairs $(X,L)\in W^r_{g,d}$ by induction. As an application, we show that to prove the Maximal Rank Conjecture (for quadrics), it suffices to check all cases with the Brill-Noether number $\rho=0$.

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Jie Wang. 2014-09-02. A remark on the generic vanishing of Koszul cohomology. https://arxiv.org/abs/1409.0806

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