English

A note on the $G$-Sarkisov program

Algebraic Geometry 2018-10-12 v1

Abstract

The purpose of this note is to prove the GG-equivariant Sarkisov program for a connected algebraic group GG following the proof of the Sarkisov program by Hacon and McKernan. As a consequence, we obtain a characterisation of connected subgroups of Bir(Z)Bir(Z) acting rationally on ZZ.

Cite

@article{arxiv.1810.05105,
  title  = {A note on the $G$-Sarkisov program},
  author = {Enrica Floris},
  journal= {arXiv preprint arXiv:1810.05105},
  year   = {2018}
}

Comments

5 pages

R2 v1 2026-06-23T04:36:35.455Z