Astérisque, n° 244. Holomorphic families of immersions and higher analytic torsion forms
Éditeur: Société mathématique de France
1997275 pagesISBN 9782856291931
Format: BrochéLangue : Anglais
The purpose of this paper is to calculate the behaviour of the higher analytic torsion forms of a Kähler fibration under composition of an immersion and a submersion. This extends a previous result by Lebeau and the author to the relative case.
Our result is compatible with the Riemann-Roch formula in Arakelov geometry conjectured by Gillet and Soulé.
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