Homological mirror symmetry for Batyrev mirror pairs
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915023836676096 |
|---|---|
| author | Ganatra, Sheel Hanlon, Andrew Hicks, Jeff Pomerleano, Daniel Sheridan, Nick |
| author_facet | Ganatra, Sheel Hanlon, Andrew Hicks, Jeff Pomerleano, Daniel Sheridan, Nick |
| contents | We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed by Batyrev from dual reflexive polytopes. The theorem holds in characteristic zero and in all but finitely many positive characteristics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05272 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological mirror symmetry for Batyrev mirror pairs Ganatra, Sheel Hanlon, Andrew Hicks, Jeff Pomerleano, Daniel Sheridan, Nick Symplectic Geometry Algebraic Geometry 53D37 (Primary) 11G42, 14J33 (Secondary) We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed by Batyrev from dual reflexive polytopes. The theorem holds in characteristic zero and in all but finitely many positive characteristics. |
| title | Homological mirror symmetry for Batyrev mirror pairs |
| topic | Symplectic Geometry Algebraic Geometry 53D37 (Primary) 11G42, 14J33 (Secondary) |
| url | https://arxiv.org/abs/2406.05272 |