Riemann–Roch theorem for operations in cohomology of algebraic varieties

Smirnov, A.

doi:10.1090/S1061-0022-07-00976-4

Riemann–Roch theorem for operations in cohomology of algebraic varieties
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by A. L. Smirnov
Translated by: B. M. Bekker

St. Petersburg Math. J. 18 (2007), 837-856

DOI: https://doi.org/10.1090/S1061-0022-07-00976-4

Published electronically: August 10, 2007

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Abstract:

The Riemann–Roch theorem for multiplicative operations in oriented cohomology theories for algebraic varieties is proved and an explicit formula for the corresponding Todd classes is given. The formula obtained can also be applied in the topological situation, and the theorem can be regarded as a change-of-variables formula for the integration of cohomology classes.

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