K-rings of smooth toric varieties via piecewise-exponential functions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913948546105344 |
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| author | Chan, Melody Clader, Emily Klivans, Caroline Ross, Dustin |
| author_facet | Chan, Melody Clader, Emily Klivans, Caroline Ross, Dustin |
| contents | We describe an explicit presentation of the ring of integral piecewise-exponential functions on a unimodular fan as a quotient of the Stanley-Reisner ring of the fan. This gives rise to a presentation of K-rings of smooth toric varieties that is parallel to the well-known presentation of integral Chow rings as quotients of Stanley-Reisner rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | K-rings of smooth toric varieties via piecewise-exponential functions Chan, Melody Clader, Emily Klivans, Caroline Ross, Dustin Algebraic Geometry 14M25, 05E45, 13F55 We describe an explicit presentation of the ring of integral piecewise-exponential functions on a unimodular fan as a quotient of the Stanley-Reisner ring of the fan. This gives rise to a presentation of K-rings of smooth toric varieties that is parallel to the well-known presentation of integral Chow rings as quotients of Stanley-Reisner rings. |
| title | K-rings of smooth toric varieties via piecewise-exponential functions |
| topic | Algebraic Geometry 14M25, 05E45, 13F55 |
| url | https://arxiv.org/abs/2507.13610 |