论文标题

O'Grady奇异模量空间的霍奇结构

Hodge structure of O'Grady's singular moduli spaces

论文作者

Bertini, Valeria, Giovenzana, Franco

论文摘要

我们研究了奇异的O'Grady的六个和十个维度示例的hodge结构。特别是,我们计算了他们的一些贝蒂数字和欧拉的特征。结果,我们推断出这些品种没有有限的奇异性来回答Bakker和Lehn的问题。

We investigate the Hodge structure of the singular O'Grady's six and ten dimensional examples of irreducible symplectic varieties. In particular, we compute some of their Betti numbers and their Euler characteristic. As consequence, we deduce that these varieties do not have finite quotient singularities answering a question of Bakker and Lehn.

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