Quasi-Gorenstein (Normal) Finite Covers in Arbitrary Characteristic
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916663307272192 |
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| author | Tavanfar, Ehsan |
| author_facet | Tavanfar, Ehsan |
| contents | We show that any complete local (normal) domain admits a module-finite quasi-Gorenstein normal (complete local) domain extension. In the geometric vein, we show that any normal projective variety $X$ over a field admits a finite surjective morphism $Y\rightarrow X$ from a normal quasi-Gorenstein projective variety $Y$. Notably, our results resolve the previously open case for residual characteristic two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15149 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-Gorenstein (Normal) Finite Covers in Arbitrary Characteristic Tavanfar, Ehsan Commutative Algebra 13H10, 13B22, 14B25, 14J17 We show that any complete local (normal) domain admits a module-finite quasi-Gorenstein normal (complete local) domain extension. In the geometric vein, we show that any normal projective variety $X$ over a field admits a finite surjective morphism $Y\rightarrow X$ from a normal quasi-Gorenstein projective variety $Y$. Notably, our results resolve the previously open case for residual characteristic two. |
| title | Quasi-Gorenstein (Normal) Finite Covers in Arbitrary Characteristic |
| topic | Commutative Algebra 13H10, 13B22, 14B25, 14J17 |
| url | https://arxiv.org/abs/2410.15149 |