摘要翻译:
本文给出了定义奇异K3-曲面的多项式的第一个例子,它的马勒测度用其牛顿多面体面的马勒测度和K3-曲面的L-级数来表示。
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英文标题:
《The Mahler measure and the L-series of a singular K3-surface》
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作者:
Marie Jos\'e Bertin
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Number Theory 数论
分类描述:Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数,丢番图方程,解析数论,代数数论,算术几何,伽罗瓦理论
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We present the first example of a polynomial defining a singular K3-surface whose Mahler measure is expressed in terms of the Mahler measure of the faces of its Newton polyhedron and the L-series of the K3-surface.
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PDF链接:
https://arxiv.org/pdf/0803.0413