Explicit resolutions of double point singularities of surfaces.

Calabri, Alberto, and Ferraro, Rita. "Explicit resolutions of double point singularities of surfaces.." Collectanea Mathematica 53.2 (2002): 99-131. <http://eudml.org/doc/42869>.

@article{Calabri2002,
abstract = {Locally analytically, any isolated double point occurs as a double cover of a smooth surface. It can be desingularized explicitly via the canonical resolution, as it is very well-known. In this paper we explicitly compute the fundamental cycle of both the canonical and minimal resolution of a double point singularity and we classify those for which the fundamental cycle differs from the fiber cycle. Moreover we compute the conditions that a double point singularity imposes to pluricanonical systems.},
author = {Calabri, Alberto, Ferraro, Rita},
journal = {Collectanea Mathematica},
keywords = {Superficies; Singularidades; Punto doble; surface singularity; double point; resolution of singularity; fundamental cycle; fiber cycle},
language = {eng},
number = {2},
pages = {99-131},
title = {Explicit resolutions of double point singularities of surfaces.},
url = {http://eudml.org/doc/42869},
volume = {53},
year = {2002},
}

TY - JOUR
AU - Calabri, Alberto
AU - Ferraro, Rita
TI - Explicit resolutions of double point singularities of surfaces.
JO - Collectanea Mathematica
PY - 2002
VL - 53
IS - 2
SP - 99
EP - 131
AB - Locally analytically, any isolated double point occurs as a double cover of a smooth surface. It can be desingularized explicitly via the canonical resolution, as it is very well-known. In this paper we explicitly compute the fundamental cycle of both the canonical and minimal resolution of a double point singularity and we classify those for which the fundamental cycle differs from the fiber cycle. Moreover we compute the conditions that a double point singularity imposes to pluricanonical systems.
LA - eng
KW - Superficies; Singularidades; Punto doble; surface singularity; double point; resolution of singularity; fundamental cycle; fiber cycle
UR - http://eudml.org/doc/42869
ER -