On reduced arc spaces of toric varieties
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866929716106100736 |
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| author | Dumanski, Ilya Feigin, Evgeny Makedonskyi, Ievgen Makhlin, Igor |
| author_facet | Dumanski, Ilya Feigin, Evgeny Makedonskyi, Ievgen Makhlin, Igor |
| contents | An arc space of an affine cone over a projective toric variety is known to be non-reduced in general. It was demonstrated recently that the reduced scheme structure is worth studying due to various connections with representation theory and combinatorics. In this paper we develop a general machinery for the description of the reduced arc spaces of affine cones over toric varieties. We apply our techniques to a number of classical cases and explore some connections with representation theory of current algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_10432 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On reduced arc spaces of toric varieties Dumanski, Ilya Feigin, Evgeny Makedonskyi, Ievgen Makhlin, Igor Algebraic Geometry Combinatorics Representation Theory An arc space of an affine cone over a projective toric variety is known to be non-reduced in general. It was demonstrated recently that the reduced scheme structure is worth studying due to various connections with representation theory and combinatorics. In this paper we develop a general machinery for the description of the reduced arc spaces of affine cones over toric varieties. We apply our techniques to a number of classical cases and explore some connections with representation theory of current algebras. |
| title | On reduced arc spaces of toric varieties |
| topic | Algebraic Geometry Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2208.10432 |