Trim resolutions, stringy and Mather classes, and IC characteristic cycles
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908699402960896 |
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| author | Aluffi, Paolo |
| author_facet | Aluffi, Paolo |
| contents | We introduce trim resolutions of complex algebraic varieties, a strengthening of the notion of small resolution. We prove that the characteristic cycle of the intersection cohomology sheaf of a variety admitting a trim resolution is irreducible and that for such varieties the stringy and Chern-Mather classes coincide. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trim resolutions, stringy and Mather classes, and IC characteristic cycles Aluffi, Paolo Algebraic Geometry 14C17, 32S60, 57R20 We introduce trim resolutions of complex algebraic varieties, a strengthening of the notion of small resolution. We prove that the characteristic cycle of the intersection cohomology sheaf of a variety admitting a trim resolution is irreducible and that for such varieties the stringy and Chern-Mather classes coincide. |
| title | Trim resolutions, stringy and Mather classes, and IC characteristic cycles |
| topic | Algebraic Geometry 14C17, 32S60, 57R20 |
| url | https://arxiv.org/abs/2512.07967 |