On the Homology of the Dual de Rham Complex

作     者：Roman MIKHAILOV Roman MIKHAILOV

作者机构：Laboratory of Modern Algebra and ApplicationsSt.Petersburg State University14th Line29bSaint Petersburg199178Russia St.Petersburg Department of Steklou Mathematical InstituteFontanka 27SaintPetersburg191023Russia 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第10期

页      面：1666-1676页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the grant of the Government of the Russian Federation for the state support of scientific research carried out under the supervision of leading scientists agreement 14.W03.31.0030 dated 15.02.2018.1 

主　　题：Dual de Rham complex polynomial functor divided powers derived functors 

摘      要：We study the homology of the dual de Rham complex as functors on the category of abelian *** give a description of homology of the dual de Rham complex up to degree 7 for free abelian groups and present a corrected version of the proof of Jean’s computations of the zeroth homology group.