Some special cases of Bobadilla's conjecture

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• 作者：Brian Hepler ; ^{hepler.b@husky.neu.edu} ; David B. Massey ^{d.massey@neu.edu}
• 关键词：32B15 ; 32C18 ; 32B10 ; 32S25 ; 32S15 ; 32S55
• 刊名：Topology and its Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：217
• 期：Complete
• 页码：59-69
• 全文大小：327 K
• 卷排序：217

文摘

We prove two special cases of a conjecture of J. Fernández de Bobadilla for hypersurfaces with 1-dimensional critical loci.We do this via a new numerical invariant for such hypersurfaces, called the beta invariant, first defined and explored by the second author in 2014. The beta invariant is an algebraically calculable invariant of the local ambient topological-type of the hypersurface, and the vanishing of the beta invariant is equivalent to the hypotheses of Bobadilla's conjecture.