On a conjecture of Kashiwara relating Chern and Euler classes of O-modules
Algebraic Geometry
2017-10-10 v2
Abstract
In this note we prove a conjecture of Kashiwara, which states that the Euler class of a coherent analytic sheaf F on a complex manifold X is the product of the Chern character of F with the Todd class of X. As a corollary, we obtain a functorial proof of the Grothendieck-Riemann-Roch theorem in Hodge cohomology for complex manifolds.
Keywords
Cite
@article{arxiv.0910.5384,
title = {On a conjecture of Kashiwara relating Chern and Euler classes of O-modules},
author = {Julien Grivaux},
journal= {arXiv preprint arXiv:0910.5384},
year = {2017}
}
Comments
Final version