Toric varieties with isolated singularity and smooth normalization
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914465161674752 |
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| author | Dalbelo, Thais Maria Hernandes, Maria Elenice Rodrigues Ruas, Maria Aparecida Soares |
| author_facet | Dalbelo, Thais Maria Hernandes, Maria Elenice Rodrigues Ruas, Maria Aparecida Soares |
| contents | 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 $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05083 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toric varieties with isolated singularity and smooth normalization Dalbelo, Thais Maria Hernandes, Maria Elenice Rodrigues Ruas, Maria Aparecida Soares Algebraic Geometry 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 $X$. |
| title | Toric varieties with isolated singularity and smooth normalization |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.05083 |