A Gauss-Bonnet theorem for motivic cohomology

DOI10.1007/BF01231496zbMath0727.14012OpenAlexW2055762489WikidataQ126162395 ScholiaQ126162395MaRDI QIDQ803219

Stuart Turner

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143797

zbMATH Keywords

elliptic curveNéron modelK-theorymotivic cohomologycovolumearithmetic Euler-Poincaré characteristicGauß-Bonnet formularesidue of the zeta-functionTamagawa measures

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40) Topological properties in algebraic geometry (14F45) Generalizations (algebraic spaces, stacks) (14A20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• Arithmétique des algèbres de quaternions
• Chern classes, adeles and L-functions.
• Values of Zeta Functions of Varieties Over Finite Fields
• A Gauss-Bonnet formula for discrete arithmetically defined groups
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