English

Cylinders in del Pezzo surfaces with du Val singularities

Algebraic Geometry 2018-10-16 v1

Abstract

We consider del Pezzo surfaces with du Val singularities. We'll prove that a del Pezzo surface XX with du Val singularities has a KX-K_X-polar cylinder if and only if there exist tiger such that the support of this tiger does not contain anti-canonical divisor. Also we classify all del Pezzo surfaces XX such that XX has not any cylinders.

Cite

@article{arxiv.1810.06127,
  title  = {Cylinders in del Pezzo surfaces with du Val singularities},
  author = {Grigory Belousov},
  journal= {arXiv preprint arXiv:1810.06127},
  year   = {2018}
}
R2 v1 2026-06-23T04:39:15.185Z