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arXiv · 2410.15149

Quasi-Gorenstein (Normal) Finite Covers in Arbitrary Characteristic

Ehsan Tavanfar
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Abstract

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.

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Ehsan Tavanfar. 2024-10-19. Quasi-Gorenstein (Normal) Finite Covers in Arbitrary Characteristic. https://arxiv.org/abs/2410.15149

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