Euler characteristic of a mixed Koszul complex and the index of vector fields
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915480180097024 |
|---|---|
| author | Hennings, Achim |
| author_facet | Hennings, Achim |
| contents | A three-term complex of free modules over a local ring determines a mixed Koszul complex, whose Euler characteristic can be expressed by mixed multiplicities. As an application, we offer a simple formula for the index of a holomorphic vector field at an isolated complete intersection singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04681 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Euler characteristic of a mixed Koszul complex and the index of vector fields Hennings, Achim Commutative Algebra Algebraic Geometry 14 32 A three-term complex of free modules over a local ring determines a mixed Koszul complex, whose Euler characteristic can be expressed by mixed multiplicities. As an application, we offer a simple formula for the index of a holomorphic vector field at an isolated complete intersection singularity. |
| title | Euler characteristic of a mixed Koszul complex and the index of vector fields |
| topic | Commutative Algebra Algebraic Geometry 14 32 |
| url | https://arxiv.org/abs/2509.04681 |