De Rham-Witt sheaves via algebraic cycles

被引：4

作者：

Krishna, Amalendu ^{[1
]}

Park, Jinhyun ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, 1 Homi Bhabha Rd, Mumbai, Maharashtra, India

[2] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea

来源：

COMPOSITIO MATHEMATICA | 2021年 / 157卷 / 10期

关键词：

algebraic cycles; de Rham-Witt complex; crystalline cohomology; HIGHER CHOW GROUPS; MILNOR K-THEORY; MOVING LEMMA; COMPLEX; FIELD; RINGS;

D O I：

10.1112/S0010437X21007478

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the additive higher Chow groups of regular schemes over a field induce a Zariski sheaf of pro-differential graded algebras, the Milnor range of which is isomorphic to the Zariski sheaf of big de Rham-Witt complexes. This provides an explicit cycle-theoretic description of the big de Rham-Witt sheaves. Several applications are derived.

引用

页码：2089 / 2132

页数：45

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