Measuring rationality of Schwede--Takagi pairs
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910157079838720 |
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| author | Lank, Pat McDonald, Peter Venkatesh, Sridhar |
| author_facet | Lank, Pat McDonald, Peter Venkatesh, Sridhar |
| contents | We begin by giving a derived characterization of rational singularities for pairs in the sense of Schwede--Takagi. This characterization extends a characterization of rational singularities due to Lank--Venkatesh to pairs on normal varieties over fields of characteristic zero. As an application, we introduce a categorical invariant that measures the failure of rationality for pairs on affine varieties that are locally complete intersections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02783 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measuring rationality of Schwede--Takagi pairs Lank, Pat McDonald, Peter Venkatesh, Sridhar Algebraic Geometry Commutative Algebra 14F08 (primary), 14B05, 14F17, 18G80 We begin by giving a derived characterization of rational singularities for pairs in the sense of Schwede--Takagi. This characterization extends a characterization of rational singularities due to Lank--Venkatesh to pairs on normal varieties over fields of characteristic zero. As an application, we introduce a categorical invariant that measures the failure of rationality for pairs on affine varieties that are locally complete intersections. |
| title | Measuring rationality of Schwede--Takagi pairs |
| topic | Algebraic Geometry Commutative Algebra 14F08 (primary), 14B05, 14F17, 18G80 |
| url | https://arxiv.org/abs/2501.02783 |