English

Automorphism and Cohomology II: Complete intersections

Algebraic Geometry 2025-01-28 v7

Abstract

We prove that the automorphism group of a general complete intersection XX in a projective space is trivial with a few well-understood exceptions. We also prove that the automorphism group of a complete intersection XX acts on the cohomology of XX faithfully with a few well-understood exceptions.

Keywords

Cite

@article{arxiv.1511.07906,
  title  = {Automorphism and Cohomology II: Complete intersections},
  author = {Xi Chen and Xuanyu Pan and Dingxin Zhang},
  journal= {arXiv preprint arXiv:1511.07906},
  year   = {2025}
}

Comments

final version, 25 pages

R2 v1 2026-06-22T11:53:42.348Z