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The Chern character for Lie-Rinehart algebras

Helge Maakestad (2005)

Annales de l'institut Fourier

Let $A$ be a commutative $S$ -algebra where $S$ is a ring containing the rationals. We prove the existence of a Chern character for Lie-Rinehart algebras $L$ over A with values in the Lie-Rinehart cohomology of L which is independent of choice of a $L$ -connection. Our result generalizes the classical Chern character from the $K$ -theory of $A$ to the algebraic De Rham cohomology.

The connection between the $K$ -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel

Amnon Neeman (1992)

Annales scientifiques de l'École Normale Supérieure

The existence of higher logarithms

Richard M. Hain (1996)

Compositio Mathematica

The Grothendieck-Riemann-Roch theorem for group scheme actions

Bernhard Köck (1998)

Annales scientifiques de l'École Normale Supérieure

The Leibniz rule in algebraic $K$ -theory.

Smirnov, A.L. (2004)

Zapiski Nauchnykh Seminarov POMI

The spectral sequence relating algebraic K-theory to motivic cohomology

Eric M. Friedlander, Andrei Suslin (2002)

Annales scientifiques de l'École Normale Supérieure

The tangent complex to the Bloch-Suslin complex

Jean-Louis Cathelineau (2007)

Bulletin de la Société Mathématique de France

Motivated by a renewed interest for the “additive dilogarithm” appeared recently, the purpose of this paper is to complete calculations on the tangent complex to the Bloch-Suslin complex, initiated a long time ago and which were motivated at the time by scissors congruence of polyedra and homology of ${SL}_{2}$ . The tangent complex to the trilogarithmic complex of Goncharov is also considered.

Topologie log-syntomique, cohomologie log-cristalline et cohomologie de Čech

Christophe Breuil (1996)

Bulletin de la Société Mathématique de France

Torsion in CH2 of Severi-Brauer varieties and indecomposability of generic algebras.

Nikita A. Karpenko (1995)

Manuscripta mathematica

Displaying 1 – 9 of 9

Currently displaying 1 – 9 of 9