Skip to Main content Skip to Navigation
Journal articles

On a conjecture of Kashiwara relating Chern and Euler classes of O-modules

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.
Complete list of metadatas

Cited literature [15 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01301388
Contributor : Aigle I2m <>
Submitted on : Monday, November 18, 2019 - 10:42:17 PM
Last modification on : Saturday, April 11, 2020 - 2:20:11 AM

File

grivaux.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01301388, version 1
  • ARXIV : 0910.5384

Citation

Julien Grivaux. On a conjecture of Kashiwara relating Chern and Euler classes of O-modules. Journal of Differential Geometry, International Press, 2012, 90 (2), pp.267--275. ⟨hal-01301388⟩

Share

Metrics

Record views

124

Files downloads

16