Mesure de Mahler d'hypersurfaces K3
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We express the logarithmic Mahler measure of two families of polynomials defining K3 hypersurfaces of generic Picard number 19 in terms of Eisenstein-Kronecker series. For some singular K3 surfaces (i.e of Picard number 20) we write this measure as Hecke L-series of weight 3 with "Gr\" ossencharacters".
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Cite
@article{arxiv.math/0501153,
title = {Mesure de Mahler d'hypersurfaces K3},
author = {Marie José Bertin},
journal= {arXiv preprint arXiv:math/0501153},
year = {2007}
}
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17 pages