English

GIT for $\hat U$-actions on algebraic $\mathbb C$-schemes

Algebraic Geometry 2022-06-29 v2

Abstract

We extend the U^\hat U-theorem for projective varieties proved in arXiv:1601.00340 and arXiv:1607.04181 to projective schemes over C\mathbb C. The condition "ss=s" required in arXiv:1601.00340 and arXiv:1607.04181 is reformulated algebraically for our setting. We also describe a blowing up for the condition "ss=s". Different from the sequence of blowing ups in arXiv:1607.04181 , we can get "ss=s" in one blowing up.

Cite

@article{arxiv.2204.13884,
  title  = {GIT for $\hat U$-actions on algebraic $\mathbb C$-schemes},
  author = {Yikun Qiao},
  journal= {arXiv preprint arXiv:2204.13884},
  year   = {2022}
}
R2 v1 2026-06-24T11:02:14.705Z