Intersection Theory on Abelian-Quotient $V$-Surfaces and $\mathbf{Q}$-Resolutions
Bartolo, Enrique Artal ; Martín-Morales, Jorge ; Ortigas-Galindo, Jorge
arXiv, 1105.1321 / Harvested from arXiv
Text on arXiv
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 $\mathbf{Q}$-resolutions of plane curve singularities and abstract $\mathbf{Q}$-resolutions of surfaces.
Publié le : 2011-05-06
Classification:  Mathematics - Algebraic Geometry,  32S25, 32S45 
@article{1105.1321,
     author = {Bartolo, Enrique Artal and Mart\'\i n-Morales, Jorge and Ortigas-Galindo, Jorge},
     title = {Intersection Theory on Abelian-Quotient $V$-Surfaces and
  $\mathbf{Q}$-Resolutions},
     journal = {arXiv},
     volume = {2011},
     number = {0},
     year = {2011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1105.1321}
}

Bartolo, Enrique Artal; Martín-Morales, Jorge; Ortigas-Galindo, Jorge. Intersection Theory on Abelian-Quotient $V$-Surfaces and
  $\mathbf{Q}$-Resolutions. arXiv, Tome 2011 (2011) no. 0, . http://gdmltest.u-ga.fr/item/1105.1321/