Mirrors to Del Pezzo Surfaces and the Classification of $T$-Polygons
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866916448100679680 |
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| author | Lutz, Wendelin |
| author_facet | Lutz, Wendelin |
| contents | We give a new geometric proof of the classification of $T$-polygons, a theorem originally due to Kasprzyk, Nill and Prince, using ideas from mirror symmetry. In particular, this gives a completely geometric proof that any two toric $\mathbb{Q}$-Gorenstein degenerations of a smooth del Pezzo $X$ surface are connected via trees of rational curves in the moduli space of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_08246 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Mirrors to Del Pezzo Surfaces and the Classification of $T$-Polygons Lutz, Wendelin Algebraic Geometry We give a new geometric proof of the classification of $T$-polygons, a theorem originally due to Kasprzyk, Nill and Prince, using ideas from mirror symmetry. In particular, this gives a completely geometric proof that any two toric $\mathbb{Q}$-Gorenstein degenerations of a smooth del Pezzo $X$ surface are connected via trees of rational curves in the moduli space of $X$. |
| title | Mirrors to Del Pezzo Surfaces and the Classification of $T$-Polygons |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2112.08246 |