Cohomology of Moduli Space of Cubic Fourfolds Ⅰ  

作　　者：Fei SI 

机构地区：[1]Shanghai Research Center For Mathematical Science,Shanghai 200433,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第5期773-798,共26页数学学报（英文版）

基　　金：Supported by NSFC grants for General Program (Grant No. 11771086);Key Program (Grant No. 11731004);National Key Research and Development Program of China (Grant No. 2020YFA0713200)。

摘　　要：In this paper we compute the cohomology of moduli space of cubic fourfolds with ADE type singularities relying on Kirwan’s blowup and Laza’s GIT construction. More precisely, we obtain the Betti numbers of Kirwan’s resolution of the moduli space. Furthermore, by applying decomposition theorem we obtain the Betti numbers of the intersection cohomology of Baily-Borel compactification of the moduli space.

关 键 词：Cubic fourfold Moduli space COHOMOLOGY 

分 类 号：O153.3[理学—数学]