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arXiv · 2410.08897

Genus one mirror symmetry for intersection of two cubics in $\mathbb{P}^5$

Dennis Eriksson·Mykola Pochekai
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Abstract

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.

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Dennis Eriksson, Mykola Pochekai. 2024-10-11. Genus one mirror symmetry for intersection of two cubics in $\mathbb{P}^5$. https://arxiv.org/abs/2410.08897

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