Generalized Minkowski weights and Chow rings of T-varieties
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910391124099072 |
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| author | Botero, Ana María |
| author_facet | Botero, Ana María |
| contents | We give a combinatorial characterization of Fulton's operational Chow cohomology groups of a complete , $\Q$-factorial, rational T-variety of complexity one in terms of so called generalized Minkowsky weights in the contraction-free case. We also describe the intersection product with Cartier invariant divisors in terms of the combinatorial data. In particular this provides a new way of computing top intersection numbers of invariant Cartier divisors combinatorially. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_03088 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Generalized Minkowski weights and Chow rings of T-varieties Botero, Ana María Algebraic Geometry 14C25, 14L30, 14M25, 14C15, 14T20, 14T10 We give a combinatorial characterization of Fulton's operational Chow cohomology groups of a complete , $\Q$-factorial, rational T-variety of complexity one in terms of so called generalized Minkowsky weights in the contraction-free case. We also describe the intersection product with Cartier invariant divisors in terms of the combinatorial data. In particular this provides a new way of computing top intersection numbers of invariant Cartier divisors combinatorially. |
| title | Generalized Minkowski weights and Chow rings of T-varieties |
| topic | Algebraic Geometry 14C25, 14L30, 14M25, 14C15, 14T20, 14T10 |
| url | https://arxiv.org/abs/2202.03088 |