Zeta functions of alternate mirror Calabi-Yau families

DOI10.1007/s11856-018-1783-0zbMath1403.14055arXiv1612.09249OpenAlexW2962751730WikidataQ129244957 ScholiaQ129244957MaRDI QIDQ1618134

Adriana Salerno, Tyler L. Kelly, Ursula Whitcher, Charles F. Doran, John Voight, Steven I. Sperber

Publication date: 13 November 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09249

zbMATH Keywords

zeta function\(K3\) surfaceCalabi-Yau hypersurfacesPicard-Fuchs equationarithmetic mirror symmetryBHK mirrorone-parameter deformation

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic mirror symmetry (11G42)

Related Items

Counting points with Berglund–Hübsch–Krawitz mirror symmetry, Special Hypergeometric Motives and Their L-Functions: Asai Recognition, Chevalley-Warning at the boundary, Hypergeometric decomposition of symmetric \(K3\) quartic pencils, Zeta functions of monomial deformations of Delsarte hypersurfaces, Hasse-Witt matrices, unit roots and period integrals, \(K3\) mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic, Alternate mirror families and hypergeometric motives, Hypergeometric functions over finite fields, Galois action on the Néron-Severi group of Dwork surfaces, Supercongruences for rigid hypergeometric Calabi-Yau threefolds

Uses Software

• Magma

Cites Work

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