English

A note on restriction theorems for semistable sheaves

Algebraic Geometry 2015-03-24 v2 Commutative Algebra

Abstract

We prove a new restriction theorem for semistable sheaves on varieties in all characteristics strengthening previous results. We also prove restriction theorem for strong semistability for varieties with some non-negativity constrains on the cotangent bundle (e.g., most of Fano and Calabi-Yau varieties).

Keywords

Cite

@article{arxiv.0905.4606,
  title  = {A note on restriction theorems for semistable sheaves},
  author = {Adrian Langer},
  journal= {arXiv preprint arXiv:0905.4606},
  year   = {2015}
}

Comments

12 pages, to appear in Mathematical Research Letters, appendix contained serious error pointed out by Trivedi and it is removed in this version

R2 v1 2026-06-21T13:07:05.130Z