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arXiv · 2412.05083

Toric varieties with isolated singularity and smooth normalization

Thais Maria Dalbelo·Maria Elenice Rodrigues Hernandes·Maria Aparecida Soares Ruas
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Abstract

In this work, we describe a prenormal form for the generators of the semigroup of a toric variety $X \subset \mathbb{C}^p$ with isolated singularity at the origin and smooth normalization. A complete description of the semigroup is given when $X$ is a variety of dimension $n$ in $\mathbb{C}^{2n}$. Moreover, for toric surfaces in $\mathbb{C}^4$, we provide a set of generators of the ideal $I$ defining $X$.

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Thais Maria Dalbelo, Maria Elenice Rodrigues Hernandes, Maria Aparecida Soares Ruas. 2024-12-06. Toric varieties with isolated singularity and smooth normalization. https://arxiv.org/abs/2412.05083

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