ARITHMETIC-GEOMETRIC MEANS FOR HYPERELLIPTIC CURVES AND CALABI–YAU VARIETIES

DOI10.1142/S0129167X1000632XzbMath1198.14044arXiv1001.4868OpenAlexW2045524530MaRDI QIDQ3584750

Keiji Matsumoto, Tomohide Terasoma

Publication date: 30 August 2010

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

Full work available at URL: https://arxiv.org/abs/1001.4868

zbMATH Keywords

hyperelliptic curvearithmetic-geometric meanCalabi-Yau varietyperiod integral

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Period matrices, variation of Hodge structure; degenerations (32G20) Special algebraic curves and curves of low genus (14H45) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Analytic theory of abelian varieties; abelian integrals and differentials (14K20)

Related Items (3)

Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines ⋮ Some Classical Problems in Number Theory via the Theory of K3 Surfaces ⋮ On the Chow ring of some special Calabi–Yau varieties

Cites Work

• Exponential Kummer coverings and determinants of hypergeometric functions
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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