Distinguished-root formulas for generalized Calabi-Yau hypersurfaces

DOI10.2140/ant.2017.11.1317zbMath1394.11054arXiv1602.03578OpenAlexW2265739767MaRDI QIDQ2399259

Alan Adolphson, Steven I. Sperber

Publication date: 22 August 2017

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03578

zbMATH Keywords

zeta function\(A\)-hypergeometric system\(p\)-adic analytic functiongeneralized Calabi-Yau hypersurface

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Finite ground fields in algebraic geometry (14G15) Varieties over finite and local fields (11G25)

Related Items

Zeta functions of alternate mirror Calabi-Yau families, Counting points with Berglund–Hübsch–Krawitz mirror symmetry, On the integrality of factorial ratios and mirror maps, A generalization of the Hasse-Witt matrix of a hypersurface, Formulas for roots of \(L\)-functions of the Airy exponential sums, Hasse-Witt matrices, unit roots and period integrals, Strong arithmetic mirror symmetry and toric isogenies, \(A\)-hypergeometric series and a \(p\)-adic refinement of the Hasse-Witt matrix, On integrality properties of hypergeometric series, On the integrality of hypergeometric series whose coefficients are factorial ratios, Hyperkloosterman sums revisited

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