New asymptotics for the existence of plane curves with prescribed singularities
作者:
Christoph Lossen,
期刊:
Communications in Algebra
(Taylor Available online 1999)
卷期:
Volume 27,
issue 7
页码: 3263-3282
ISSN:0092-7872
年代: 1999
DOI:10.1080/00927879908826626
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
We study the classical problem of the existence of irreducible plane curves with given degreedand prescribed singularities of topological typesS1,…,Sr- Our main results concern substantial improvements of the leading coefficients in the asymptotically optimal sufficient conditions for complex plane curves which were found in [GLS1]. We then transfer these results to real plane curves.
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