Hypergeometric integrals modulo \(p\) and Hasse-Witt matrices

DOI10.1007/s40598-020-00168-2zbMath1477.13016arXiv2001.06869OpenAlexW3106561057WikidataQ114219056 ScholiaQ114219056MaRDI QIDQ823820

Alexey Slinkin, Alexander Varchenko

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06869

zbMATH Keywords

hypergeometric integralsHasse-Witt matrixKZ equationsreduction to characteristic \(p\)

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

The \({{\mathbb{F}}}_p\)-Selberg integral, Determinant of 𝔽_{𝕡}-hypergeometric solutions under ample reduction, Notes on solutions of KZ equations modulo 𝑝^{𝑠} and 𝑝-adic limit 𝑠→∞, On the number of \(p\)-hypergeometric solutions of KZ equations

Cites Work

• Current algebras and Wess-Zumino model in two dimensions
• Arrangements of hyperplanes and Lie algebra homology
• Solutions modulo \(p\) of Gauss-Manin differential equations for multidimensional hypergeometric integrals and associated Bethe ansatz
• Hyperelliptic integrals modulo \(p\) and Cartier-Manin matrices
• Solutions of KZ differential equations modulo \(p\)
• THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I
• Remarks on the Gaudin model modulo p
• Hasse–Witt and Cartier–Manin matrices: A warning and a request
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item