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Harmonic theta series and the Kodaira dimension of 𝒜6
Algebra & Number Theory ( IF 1.3 ) Pub Date : 2021-03-01 , DOI: 10.2140/ant.2021.15.271
Moritz Dittmann , Riccardo Salvati Manni , Nils R. Scheithauer

We construct a basis of the space S14(Sp12()) of Siegel cusp forms of degree 6 and weight 14 consisting of harmonic theta series. One of these functions has vanishing order 2 at the boundary which implies that the Kodaira dimension of 𝒜6 is nonnegative.



中文翻译:

谐波θ系列和the6的小平维度

我们构建空间的基础 小号1个4SP1个2个 尖峰度的形式 6 和重量 1个4由谐波theta系列组成。这些功能之一具有消失的顺序2个 在边界处,这意味着 𝒜6 是非负的。

更新日期:2021-03-03
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