De Rham–Witt sheaves via algebraic cycles

Autor:	Amalendu Krishna, Jinhyun Park
Rok vydání:	2021
Předmět:	Algebraic cycle Pure mathematics Mathematics::Algebraic Geometry Algebra and Number Theory Mathematics::Commutative Algebra Milnor K-theory Mathematics::K-Theory and Homology Crystalline cohomology Sheaf Field (mathematics) Mathematics
Zdroj:	Compositio Mathematica. 157:2089-2132
ISSN:	1570-5846 0010-437X
DOI:	10.1112/s0010437x21007478
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::adee6650a7c31f7b0a927d5bf8aa02fa https://doi.org/10.1112/s0010437x21007478 Zobrazit plný text záznamu