Signature of the Milnor fiber of parametrized surfaces
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910310779060224 |
|---|---|
| author | Conejero, R. Giménez Pintér, Gergő |
| author_facet | Conejero, R. Giménez Pintér, Gergő |
| contents | We compute the signature of the Milnor fiber of certain type of non-isolated complex surface singularities, namely, images of finitely determined holomorphic germs. An explicit formula is given in algebraic terms. As a corollary we show that the signature of the Milnor fiber is a topological invariant for these singularities. The proof combines complex analytic and smooth topological techniques. The main tools are Thom-Mather theory of map germs and the Ekholm-Szűcs-Takase-Saeki formula for immersions. We give a table with many examples for which the signature is computed using our formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14951 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Signature of the Milnor fiber of parametrized surfaces Conejero, R. Giménez Pintér, Gergő Algebraic Geometry 32S25, 32S50 (Primary) 57R42 (Secondary) We compute the signature of the Milnor fiber of certain type of non-isolated complex surface singularities, namely, images of finitely determined holomorphic germs. An explicit formula is given in algebraic terms. As a corollary we show that the signature of the Milnor fiber is a topological invariant for these singularities. The proof combines complex analytic and smooth topological techniques. The main tools are Thom-Mather theory of map germs and the Ekholm-Szűcs-Takase-Saeki formula for immersions. We give a table with many examples for which the signature is computed using our formula. |
| title | Signature of the Milnor fiber of parametrized surfaces |
| topic | Algebraic Geometry 32S25, 32S50 (Primary) 57R42 (Secondary) |
| url | https://arxiv.org/abs/2401.14951 |