The anticanonical complex for non-degenerate toric complete intersections
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866916815770222592 |
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| author | Hausen, Juergen Mauz, Christian Wrobel, Milena |
| author_facet | Hausen, Juergen Mauz, Christian Wrobel, Milena |
| contents | The anticanonical complex generalizes the Fano polytope from toric geometry and has been used to study Fano varieties with torus action so far. We work out the case of complete intersections in toric varieties defined by non-degenerate systems of Laurent polynomials. As an application, we classify the terminal Fano threefolds that are embedded into a fake weighted projective space via a general system of Laurent polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_04723 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The anticanonical complex for non-degenerate toric complete intersections Hausen, Juergen Mauz, Christian Wrobel, Milena Algebraic Geometry 14J45, 14M25 The anticanonical complex generalizes the Fano polytope from toric geometry and has been used to study Fano varieties with torus action so far. We work out the case of complete intersections in toric varieties defined by non-degenerate systems of Laurent polynomials. As an application, we classify the terminal Fano threefolds that are embedded into a fake weighted projective space via a general system of Laurent polynomials. |
| title | The anticanonical complex for non-degenerate toric complete intersections |
| topic | Algebraic Geometry 14J45, 14M25 |
| url | https://arxiv.org/abs/2006.04723 |