Affine Subspace Concentration Conditions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911628299075584 |
|---|---|
| author | Wu, Kuang-Yu |
| author_facet | Wu, Kuang-Yu |
| contents | We define a new notion of affine subspace concentration conditions for lattice polytopes, and prove that they hold for smooth and reflexive polytopes with barycenter at the origin. Our proof involves considering the slope stability of the canonical extension of the tangent bundle by the trivial line bundle and with the extension class $c_1(\mathcal{T}_X)$ on Fano toric varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_06062 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Affine Subspace Concentration Conditions Wu, Kuang-Yu Algebraic Geometry 14M25, 14J60, 52B20 We define a new notion of affine subspace concentration conditions for lattice polytopes, and prove that they hold for smooth and reflexive polytopes with barycenter at the origin. Our proof involves considering the slope stability of the canonical extension of the tangent bundle by the trivial line bundle and with the extension class $c_1(\mathcal{T}_X)$ on Fano toric varieties. |
| title | Affine Subspace Concentration Conditions |
| topic | Algebraic Geometry 14M25, 14J60, 52B20 |
| url | https://arxiv.org/abs/2201.06062 |