论文标题

在Ricci平面度量的模量空间上

On the moduli space of ricci flat metrics on a K3 surface

论文作者

Degen, David

论文摘要

我们表明,RICCI平坦的单位音量(包括Orbifold指标)的模量空间仅连接起来,并且与K3晶格$(-E_8)^{\ oplus 2} \ oplus 2} \ oplus u^uslus u^{\ oplus 3}的K3 lattice $(-e_8)^{\ oplus 2}^}的k3 lattice $(-e_8)^{\ oplus uplus uplus 2} $ 3}具有相同的合理共同体学。

We show that the moduli space of Ricci flat metrics of unit volume (including orbifold metrics) on a K3 surface is simply connected and that it has the same rational cohomology as the automorphism group of the K3 lattice $(-E_8)^{\oplus 2}\oplus U^{\oplus 3}$.

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