Smoothing Gorenstein toric Fano 3-folds
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929620626964480 |
|---|---|
| author | Corti, Alessio Hacking, Paul Petracci, Andrea |
| author_facet | Corti, Alessio Hacking, Paul Petracci, Andrea |
| contents | We introduce admissible Minkowski decomposition data (amd) for a 3-dimensional reflexive polytope P. This notion is defined purely in terms of the combinatorics of P. Denoting by X the Gorenstein toric Fano 3-fold whose fan is the spanning fan (a.k.a. face fan) of P, our first result states that amd for P determine a smoothing of X. Our second result amounts to an effective recipe for computing the Betti numbers of the smoothing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Smoothing Gorenstein toric Fano 3-folds Corti, Alessio Hacking, Paul Petracci, Andrea Algebraic Geometry 14J45, 14J33 (Primary), 14M25, 14E15 (Secondary) We introduce admissible Minkowski decomposition data (amd) for a 3-dimensional reflexive polytope P. This notion is defined purely in terms of the combinatorics of P. Denoting by X the Gorenstein toric Fano 3-fold whose fan is the spanning fan (a.k.a. face fan) of P, our first result states that amd for P determine a smoothing of X. Our second result amounts to an effective recipe for computing the Betti numbers of the smoothing. |
| title | Smoothing Gorenstein toric Fano 3-folds |
| topic | Algebraic Geometry 14J45, 14J33 (Primary), 14M25, 14E15 (Secondary) |
| url | https://arxiv.org/abs/2412.06500 |