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 four fixed points.

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A Prym Hypergeometric

  • Alessio Corti,
  • Giulia Gugiatti,
  • Fernando Rodriguez Villegas

摘要

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 four fixed points.