Symplectic monodromy at radius zero and equimultiplicity of $μ$-constant families
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929410860384256 |
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| author | de Bobadilla, Javier Fernández Pełka, Tomasz |
| author_facet | de Bobadilla, Javier Fernández Pełka, Tomasz |
| contents | We show that every family of isolated hypersurface singularity 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 to generalize a spectral sequence of McLean converging to fixed point Floer homology of iterates of the monodromy to a more general setting which is well suited to study $μ$-constant families. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_07007 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Symplectic monodromy at radius zero and equimultiplicity of $μ$-constant families de Bobadilla, Javier Fernández Pełka, Tomasz Algebraic Geometry Symplectic Geometry 14B05, 14J17, 32S25, 32S30, 32S55, 53D40 We show that every family of isolated hypersurface singularity 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 to generalize a spectral sequence of McLean converging to fixed point Floer homology of iterates of the monodromy to a more general setting which is well suited to study $μ$-constant families. |
| title | Symplectic monodromy at radius zero and equimultiplicity of $μ$-constant families |
| topic | Algebraic Geometry Symplectic Geometry 14B05, 14J17, 32S25, 32S30, 32S55, 53D40 |
| url | https://arxiv.org/abs/2204.07007 |