The Motivic Picard--Lefschetz Formula
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918160567894016 |
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| author | Azouri, Ran Jacobsen, Emil |
| author_facet | Azouri, Ran Jacobsen, Emil |
| contents | We prove a motivic enhancement of the classical Picard--Lefschetz formula. Our proof is completely motivic, and yields a description of the motivic nearby cycles at a quasi-homogeneous singularity, as well as its monodromy, in terms of an embedding of projective hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12762 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Motivic Picard--Lefschetz Formula Azouri, Ran Jacobsen, Emil Algebraic Geometry 14F42, 14J17, 19E15 We prove a motivic enhancement of the classical Picard--Lefschetz formula. Our proof is completely motivic, and yields a description of the motivic nearby cycles at a quasi-homogeneous singularity, as well as its monodromy, in terms of an embedding of projective hypersurfaces. |
| title | The Motivic Picard--Lefschetz Formula |
| topic | Algebraic Geometry 14F42, 14J17, 19E15 |
| url | https://arxiv.org/abs/2510.12762 |