On the Parameterization of Germs of Two-Dimensional Singularities

Autor:	Mihnea Colţoiu, Cezar Joiţa
Rok vydání:	2014
Předmět:	Mathematics::Complex Variables Mathematics::Number Theory Mathematical analysis Holomorphic function Isolated singularity Exceptional divisor Surjective function Combinatorics Singularity Differential geometry Simply connected space Gravitational singularity Geometry and Topology Mathematics
Zdroj:	The Journal of Geometric Analysis. 25:2427-2435
ISSN:	1559-002X 1050-6926
DOI:	10.1007/s12220-014-9520-3
Popis:	We consider a germ of a two-dimensional complex singularity \((X,x_0)\), irreducible at \(x_0\) and \(F\) the exceptional divisor of a desingularization. We prove that if there exists a normal isolated singularity \((Z,z_0)\) with simply connected link and a surjective holomorphic map \(f:(Z,z_0)\rightarrow (X,x_0)\) then all irreducible components of \(F\) are rational, and if all irreducible components of \(F\) are rational then there exists a surjective holomorphic map \(f:(\mathbb {C}^2,0)\rightarrow (X,x_0)\).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5044517ef0aeef5343e393b9be0b2fb8 https://doi.org/10.1007/s12220-014-9520-3 Zobrazit plný text záznamu Full text from SpringerLink