Motivic cohomology and K-theory of some surfaces over finite fields

被引：0

作者：

Gregory, Oliver ^{[1
,2
]}

机构：

[1] Imperial Coll London, Huxley Bldg, London SW7 2AZ, England

[2] Heilbronn Inst Math Res, Bristol, Avon, England

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

ALGEBRAIC CYCLES; VARIETIES; CONJECTURE; TORSION;

D O I：

10.1016/j.jpaa.2023.107518

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compute the algebraic K-theory of some classes of surfaces defined over finite fields. We achieve this by first calculating the motivic cohomology groups and then studying the motivic Atiyah-Hirzebruch spectral sequence. In an appendix, we slightly enlarge the class of surfaces for which Parshin's conjecture is known.Crown Copyright & COPY; 2023 Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

引用

页数：21

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