Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions
Journal of Singularities, Tome 8 (2014), pp. 11-30
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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.
@article{10_5427_jsing_2014_8b,
author = {Enrique Artal Bartolo and Jorge Mart{\'\i}n-Morales, and Jorge Ortigas-Galindo},
title = {Intersection {Theory} on {Abelian-Quotient} {V-Surfaces} and {Q-Resolutions}},
journal = {Journal of Singularities},
pages = {11--30},
publisher = {mathdoc},
volume = {8},
year = {2014},
doi = {10.5427/jsing.2014.8b},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8b/}
}
TY - JOUR AU - Enrique Artal Bartolo AU - Jorge Martín-Morales, AU - Jorge Ortigas-Galindo TI - Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions JO - Journal of Singularities PY - 2014 SP - 11 EP - 30 VL - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8b/ DO - 10.5427/jsing.2014.8b ID - 10_5427_jsing_2014_8b ER -
%0 Journal Article %A Enrique Artal Bartolo %A Jorge Martín-Morales, %A Jorge Ortigas-Galindo %T Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions %J Journal of Singularities %D 2014 %P 11-30 %V 8 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8b/ %R 10.5427/jsing.2014.8b %F 10_5427_jsing_2014_8b
Enrique Artal Bartolo; Jorge Martín-Morales,; Jorge Ortigas-Galindo. Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions. Journal of Singularities, Tome 8 (2014), pp. 11-30. doi: 10.5427/jsing.2014.8b
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