Rational points over finite fields on a family of higher genus curves and hypergeometric functions

DOI10.11650/tjm.21.2017.7724zbMath1396.14023OpenAlexW2580357507MaRDI QIDQ515107

Yih Sung

Publication date: 9 March 2017

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

Full work available at URL: http://journal.tms.org.tw/index.php/TJM/article/view/7724

zbMATH Keywords

Riemann surfaceshypergeometric functionsrational pointsholomorphic differentials

Mathematics Subject Classification ID

Rational points (14G05) Classical hypergeometric functions, ({}_2F_1) (33C05) Differentials on Riemann surfaces (30F30)

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Kummer sandwiches and Greene-Plesser construction ⋮ The number of rational points of two parameter Calabi-Yau manifolds as toric hypersurfaces ⋮ Counting rational points on Kummer surfaces ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request

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