A Prym Hypergeometric
Alessio Corti, Giulia Gugiatti, Fernando Rodriguez Villegas
TL;DR
This paper investigates a hypergeometric local system linked to quantum Chen-Ruan cohomology of weighted del Pezzo hypersurfaces, revealing its relation to a genus-7 curve pencil with an involution.
Contribution
It establishes the connection between the hypergeometric local system and the anti-invariant variation of a genus-7 curve pencil under an involution.
Findings
The local system arises from quantum cohomology of weighted del Pezzo hypersurfaces.
It is the anti-invariant variation of a genus-7 curve pencil.
The involution has 4 fixed points.
Abstract
We study a hypergeometric local system that arises from the quantum Chen-Ruan cohomology of a family of weighted del Pezzo hypersurfaces. We prove that it is the anti-invariant variation of a pencil of genus-7 curves with respect to an involution having 4 fixed points.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics