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/).
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页数：21
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