English

Vanishing Theorem for Hodge Ideals on smooth hypersurfaces

Algebraic Geometry 2024-10-21 v3

Abstract

We use a Koszul-type resolution to prove a weak version of Bott's vanishing theorem for smooth hypersurfaces in Pn\mathbb{P}^n and use this result to prove a vanishing theorem for Hodge ideals associated with an effective Cartier divisor on a hypersurface. This extends an earlier result of Mustata and Popa.

Keywords

Cite

@article{arxiv.2301.10596,
  title  = {Vanishing Theorem for Hodge Ideals on smooth hypersurfaces},
  author = {Anh Duc Vo},
  journal= {arXiv preprint arXiv:2301.10596},
  year   = {2024}
}

Comments

small corrections and additions made; published in Mathematische Zeitschrift

R2 v1 2026-06-28T08:19:54.289Z