English

Intersection Theory on Abelian-Quotient $V$-Surfaces and $\mathbf{Q}$-Resolutions

Algebraic Geometry 2018-05-04 v1

Abstract

In this paper we study the intersection theory on surfaces with abelian quotient singularities and we derive properties of quotients of weighted projective planes. We also use this theory to study weighted blow-ups in order to construct embedded Q\mathbf{Q}-resolutions of plane curve singularities and abstract Q\mathbf{Q}-resolutions of surfaces.

Keywords

Cite

@article{arxiv.1105.1321,
  title  = {Intersection Theory on Abelian-Quotient $V$-Surfaces and $\mathbf{Q}$-Resolutions},
  author = {Enrique Artal Bartolo and Jorge Martín-Morales and Jorge Ortigas-Galindo},
  journal= {arXiv preprint arXiv:1105.1321},
  year   = {2018}
}

Comments

31 pages, 11 figures

R2 v1 2026-06-21T18:03:48.315Z