Mirror symmetry for tropical hypersurfaces and patchworking
| Autor: | Matessi, Diego, Renaudineau, Arthur |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In the first part of the paper, we prove a mirror symmetry isomorphism between integral tropical homology groups of a pair of mirror tropical Calabi-Yau hypersurfaces. We then apply this isomorphism to prove that a primitive patchworking of a central triangulation of a reflexive polytope gives a connected real Calabi-Yau hypersurface if and only if the corresponding divisor class on the mirror is not zero. Comment: 42 pages, 8 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|