A remark on an algebraic Riemann-Roch formula for flat bundles
alg-geom
2016-08-15 v1 Algebraic Geometry
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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Cite
@article{arxiv.alg-geom/9701015,
title = {A remark on an algebraic Riemann-Roch formula for flat bundles},
author = {Hélène Esnault},
journal= {arXiv preprint arXiv:alg-geom/9701015},
year = {2016}
}
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