Intersection theory on abelian-quotient V-surfaces and Q-resolutions

Bartolo, E. A. (Universidad de Zaragoza) ; Martín-Morales, J. ; Ortigas-Galindo, J.

Resumen: Abstract: In this paper we study the intersection theory on surfaces with abelian quotient singularities and we obtain formulas for its behavior under weighted blow-ups. As applications, we extend Mumford's formulas for the intersection theory on normal divisors, we derive properties for quotients of weighted projective planes, and finally, we compute abstract Q-resolutions of normal surfaces using Jung's method.
Keywords: Quotient singularity, intersection number, embedded Q-resolution.

Idioma: Inglés

DOI: 10.5427/jsing.2014.8b

Año: 2014

Publicado en: Journal of singularities 8 (2014), 11-30
ISSN: 1949-2006

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2010-21740-C02-02

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)