English

Del Pezzo surfaces of degree one and examples of Zariski multiples

Algebraic Geometry 2026-05-11 v3

Abstract

We construct examples of Zariski N-tuples with large N using the monodromy action of the Weyl group of type E8 on the set of 240 lines in a del Pezzo surface of degree one.

Keywords

Cite

@article{arxiv.2507.15210,
  title  = {Del Pezzo surfaces of degree one and examples of Zariski multiples},
  author = {Ichiro Shimada},
  journal= {arXiv preprint arXiv:2507.15210},
  year   = {2026}
}

Comments

A reference is updated, and a typo is corrected