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arXiv · 2302.07991

Gorensteinness for normal tangent cones of elliptic ideals

Tomohiro Okuma·Kei-ichi Watanabe·Ken-ichi Yoshida
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Abstract

Let $A$ be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals $I \subset A$ for its normal tangent cone $\overline{G}(I)$ to be Gorenstein. Moreover, we classify all those ideals in a Gorenstein elliptic singularity in the characteristic zero case.

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Tomohiro Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida. 2023-02-15. Gorensteinness for normal tangent cones of elliptic ideals. https://doi.org/10.1016/j.jpaa.2024.107791

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