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Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
-
Keiji Matsumoto
and
Tomohide Terasoma
Published/Copyright:
September 27, 2011
Abstract
In this paper, we give a Thomae type formula for K3 surfaces X given by double covers of the projective plane branching along six lines. This formula gives relations between theta constants on the bounded symmetric domain of type I22 and period integrals of X. Moreover, we express the period integrals by using the hypergeometric function FS of four variables. As applications of our main theorem, we define ℝ4-valued sequences by mean iterations of four terms, and express their common limits by the hypergeometric function FS.
Received: 2010-04-06
Revised: 2011-04-05
Published Online: 2011-09-27
Published in Print: 2012-08
©[2012] by Walter de Gruyter Berlin Boston
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- String topology of classifying spaces
- Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
- Weak Neumann implies Stokes
- Quasi-isometric classification of non-geometric 3-manifold groups
- Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
- Cosmetic crossing changes of fibered knots
- Leavitt path algebras of separated graphs
- Brauer's height zero conjecture for the 2-blocks of maximal defect
Articles in the same Issue
- String topology of classifying spaces
- Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
- Weak Neumann implies Stokes
- Quasi-isometric classification of non-geometric 3-manifold groups
- Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines
- Cosmetic crossing changes of fibered knots
- Leavitt path algebras of separated graphs
- Brauer's height zero conjecture for the 2-blocks of maximal defect
