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arXiv · alg-geom/9701015

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

Hélène Esnault
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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 $\C/\Z$ coefficients over the field of complex numbers.

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Hélène Esnault. 1997-01-27. A remark on an algebraic Riemann-Roch formula for flat bundles. https://arxiv.org/abs/alg-geom/9701015

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