Symplectic monodromy at radius zero and equimultiplicity of μ-constant families

• 成果类型: Article
• 署名作者: De Bobadilla, Javier Fernandez; Pelka, Tomasz
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2024.200.1.4
• 发表日期: 2024
• 页码: 153-299
• 关键词: floer homology; milnor number; hypersurface singularities; topological types; zeta-function; multiplicity; deformations

摘要

We show that every family of isolated hypersurface singularities with constant Milnor number has constant multiplicity. To achieve this, we endow the A'Campo model of radius zero monodromy with a symplectic structure. This new approach allows us to generalize a spectral sequence of McLean converging to fixed point Floer homology of iterates of the monodromy to a more general setting that is well suited to study mu -constant families.