English

A counter-example to the equivariance structure on semi-universal deformation

Algebraic Geometry 2021-03-29 v2

Abstract

If XX is a projective variety and GG is an algebraic group acting algebraically on XX, we provide a counter-example to the existence of a GG-equivariant extension on the formal semi-universal deformation of XX.

Keywords

Cite

@article{arxiv.1906.00082,
  title  = {A counter-example to the equivariance structure on semi-universal deformation},
  author = {An Khuong Doan},
  journal= {arXiv preprint arXiv:1906.00082},
  year   = {2021}
}

Comments

13 pages, Remark 1.1, Definition 1.6, Definition 1.7, and Remark 4.1 have been added. A slight change in the proof of Theorem 4.1. To appear in The Journal of Geometric analysis

R2 v1 2026-06-23T09:36:11.357Z