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Irreducibility of equisingular families of curves-improved conditions
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UNSPECIFIED (2005) Irreducibility of equisingular families of curves-improved conditions. COMMUNICATIONS IN ALGEBRA, 33 (2). pp. 455-466. doi:10.1081/AGB-200047413 ISSN 0092-7872.
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Official URL: http://dx.doi.org/10.1081/AGB-200047413
Abstract
In Keilen (2003) we gave sufficient conditions for the irreducibility of the family V-vertical bar D vertical bar(irr) (S-1(p),...,S-r(p)) of irreducible curves in the linear system vertical bar D vertical bar(1) with precisely r singular points of topological, respectively, analytical, types S-1(p),...... S-r(p), on several classes of smooth projective surfaces Sigma. The conditions were of the form
(r)Sigma(i=1) (tau* (S-i(p)) + 2)(2) < gamma. (D - K-Sigma)(2)
where tau* is some invariant of singularity types, K-Sigma is the canonical divisor of Sigma, and gamma is some constant. In the present paper we improve this condition, that is, the constant gamma, by a factor of 9.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | COMMUNICATIONS IN ALGEBRA | ||||
Publisher: | MARCEL DEKKER INC | ||||
ISSN: | 0092-7872 | ||||
Official Date: | 2005 | ||||
Dates: |
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Volume: | 33 | ||||
Number: | 2 | ||||
Number of Pages: | 12 | ||||
Page Range: | pp. 455-466 | ||||
DOI: | 10.1081/AGB-200047413 | ||||
Publication Status: | Published |
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