On a conjecture of Kashiwara relating Chern and Euler classes of O-modules - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: In this note we prove a conjecture of Kashiwara, which states that the Eulerclass of a coherent analytic sheaf F on a complex manifold X is the product ofthe Chern character of F with the Todd class of X. As a corollary, we obtain afunctorial proof of the Grothendieck-Riemann-Roch theorem in Hodge cohomologyfor complex manifolds.



Author: Julien Grivaux

Source: https://arxiv.org/







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