摘要翻译:
我们用一个推广的Kummer构造来实现除了一个已知的权重以外的所有四个新形式的复数乘法和有理Fourier系数在光滑的Calabi-Yau三重定义在有理数上。Calabi-Yau流形是具有3类CM的椭圆曲线的Weil限制商的光滑模型。
---
英文标题:
《Generalised Kummer constructions and Weil restrictions》
---
作者:
Slawomir Cynk, Matthias Schuett
---
最新提交年份:
2008
---
分类信息:
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
--
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
--
---
英文摘要:
We use a generalised Kummer construction to realise all but one known weight four newforms with complex multiplication and rational Fourier coefficients in smooth Calabi-Yau threefolds defined over the rational numbers. The Calabi-Yau manifolds are smooth models of quotients of the Weil restrictions of elliptic curves with CM of class number three.
---
PDF链接:
https://arxiv.org/pdf/0710.4565