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A remark on an algebraic Riemann-Roch formula for flat bundles

Hélène Esnault

alg-geomarXiv:alg-geom/9701015

Abstract

We propose an algebraic Riemann-Roch formula for moving flat bundles on contant families in characteristic zero with values in the ring of algebraic differential characters. This formula lifts Grothendieck-Riemann-Roch formula in the Chow groups and Bismut-Lott formula in the odd dimensional Betti cohomology with / coefficients over the field of complex numbers.

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