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Journal articles
Variation of the holomorphic determinant bundle
Abstract : In this paper, we prove that the Grothendieck-Riemann-Roch formula in Deligne cohomology computing the determinant of the cohomology of a holomorphic vector bundle on the fibers of a proper submersion between abstract complex manifolds is invariant by deformation of the bundle.
Cited literature [35 references]
https://hal.archives-ouvertes.fr/hal-01301417
Contributor : Aigle I2m <>
Submitted on : Monday, November 18, 2019 - 10:59:07 PM
Last modification on : Thursday, January 23, 2020 - 6:22:16 PM
Contributor : Aigle I2m <>
Submitted on : Monday, November 18, 2019 - 10:59:07 PM
Last modification on : Thursday, January 23, 2020 - 6:22:16 PM
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Riemann-Roch-Deligne.pdf
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