Composition of Sarkisov links between del Pezzo surfaces

Anastasia V. Vikulova

Composition of Sarkisov links between del Pezzo surfaces

Algebraic Geometry 2026-07-14 v1

Authors: Anastasia V. Vikulova

Abstract

We prove that for any two birationally equivalent del Pezzo surfaces of Picard rank one over a perfect field there is a birational map between them such that it is decomposed in a composition of at most two Sarkisov links.

Keywords

del Pezzo surfaces Sarkisov links birational geometry Picard rank one perfect field

Cite

@article{arxiv.2607.13270,
  title  = {Composition of Sarkisov links between del Pezzo surfaces},
  author = {Anastasia V. Vikulova},
  journal= {arXiv preprint arXiv:2607.13270},
  year   = {2026}
}