Genus one mirror symmetry for intersection of two cubics in $\mathbb{P}^5$
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_ | 1866929705074032640 |
|---|---|
| author | Eriksson, Dennis Pochekai, Mykola |
| author_facet | Eriksson, Dennis Pochekai, Mykola |
| contents | This paper establishes BCOV-type genus one mirror symmetry for the intersections of two cubics in $\mathbb{P}^5$. The proof applies previous constructions of the mirror family by the second author and computations of genus one Gromov-Witten invariants by A. Popa. The approach adapts the strategy used for hypersurfaces, as developed by the first author and collaborators, but addresses the distinct geometry involved. A key feature is a systematic usage of toric techniques and related computer aided calculations to determine seemingly otherwise inaccessible invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08897 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Genus one mirror symmetry for intersection of two cubics in $\mathbb{P}^5$ Eriksson, Dennis Pochekai, Mykola Algebraic Geometry Primary 14J32, 14J33, Secondary 14Q15, 32G20 This paper establishes BCOV-type genus one mirror symmetry for the intersections of two cubics in $\mathbb{P}^5$. The proof applies previous constructions of the mirror family by the second author and computations of genus one Gromov-Witten invariants by A. Popa. The approach adapts the strategy used for hypersurfaces, as developed by the first author and collaborators, but addresses the distinct geometry involved. A key feature is a systematic usage of toric techniques and related computer aided calculations to determine seemingly otherwise inaccessible invariants. |
| title | Genus one mirror symmetry for intersection of two cubics in $\mathbb{P}^5$ |
| topic | Algebraic Geometry Primary 14J32, 14J33, Secondary 14Q15, 32G20 |
| url | https://arxiv.org/abs/2410.08897 |