English

On automorphisms of quasi-smooth weighted complete intersections

Algebraic Geometry 2023-02-08 v2

Abstract

We show that every reductive subgroup of the automorphism group of a quasi-smooth well formed weighted complete intersection is a restriction of a subgroup in the automorphism group in the ambient weighted projective space. Also, we provide examples demonstrating that an automorphism group of a quasi-smooth well formed Fano weighted complete intersection may be infinite and even non-reductive.

Keywords

Cite

@article{arxiv.2006.01213,
  title  = {On automorphisms of quasi-smooth weighted complete intersections},
  author = {Victor Przyjalkowski and Constantin Shramov},
  journal= {arXiv preprint arXiv:2006.01213},
  year   = {2023}
}

Comments

Appendix moved to arXiv:2010.14447; 15 pages

R2 v1 2026-06-23T15:58:27.722Z