Hirzebruch invariants of symmetric products
Hirzebruch invariants of symmetric products
复制标题
对称积的 Hirzebruch 不变量
DOI：
10.1090/conm/538/10599
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Jörg Schürmann
中科院分区：
文献类型：
--
作者：
L. Maxim;Jörg Schürmann
这些笔记是第一作者在“代数簇拓扑”会议上演讲的扩展版本，该会议是为了纪念阿纳托利·利布戈伯 (Anatoly Libgober) 诞辰 60 周年而组织的。我们在这里提供了拟射影簇的对称乘积的霍奇多项式（带系数）的生成级数公式的非常基本的证明。作者最近通过对 Grothendieck 群使用 λ 结构和 Adams 运算获得了更一般的结果。
These notes are an expanded version of the talk given by the first author at the conference “Topology of Algebraic Varieties”, organized in honor of Anatoly Libgober’s 60-th anniversary. We provide here a very elementary proof of a generating series formula for the Hodge polynomials (with coefficients) of symmetric products of quasi-projective varieties. A more general result was recently obtained by the authors by using λ-structures and Adams operations on Grothendieck groups.