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IRREDUCIBILITY OF EQUISINGULAR FAMILIES OF CURVES-IMPROVED CONDITIONS.
- Source :
-
Communications in Algebra . Feb2005, Vol. 33 Issue 2, p455-466. 12p. 2 Charts. - Publication Year :
- 2005
-
Abstract
- In Keilen (2003) we gave sufficient conditions for the irreducibility of the family Virr([This symbol cannot be presented in ASCII format]l,...,[This symbol cannot be presented in ASCII format]r) of irreducible curves in the linear system \D\t with precisely r singular points of topological, respectively, analytical, types [This symbol cannot be presented in ASCII format]l,... ,[This symbol cannot be presented in ASCII format]r on several classes of smooth projective surfaces Σ. The conditions were of the form [This symbol cannot be presented in ASCII format] where τ* is some invariant of singularity types, KΣ is the canonical divisor of Σ, and γ is some constant. In the present paper we improve this condition, that is, the constant γ, by a factor of 9. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 33
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 16680930
- Full Text :
- https://doi.org/10.1081/AGB-200047413