Explicit resolutions of double point singularities of surfaces

Autores: Rita Ferraro, Alberto Calabri
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 53, Fasc. 2, 2002, págs. 99-132
Idioma: inglés
Títulos paralelos:
- Resoluciones explícitas de singularidades de doble punto de superficies
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Resumen
- 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.