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- W1664599536 abstract "Soit π1 : W → V (resp. π2 : V → S) une submersion holomorphe de variétés complexes, de fibre compacte. Soit ξ un fibré holomorphe sur W. Dans cette Note, on annonce un résultat qui exprime une combinaison des formes de torsion analytique associées à π1, π2 et π2 o π1 à l'aide de classes de Bott-Chern. Ce résultat étend une formule de Berthomieu-Bismut à une situation en famille. Let π1 : W → V (resp. π2 : V → S) be a holomorphic submersion of complex varieties with compact fibre. Let ξ be a holomorphic vector bundle on W. In this Note, we announce a result which relates a combination of the analytic torsion forms associated to π1, π2 and π2 o π1 in terms of Bott-Chern classes. This result extends to a relative situation a result by Berthomieu-Bismut on the behaviour of submersion of Quillen metrics." @default.
- W1664599536 created "2016-06-24" @default.
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- W1664599536 date "1997-01-01" @default.
- W1664599536 modified "2023-09-25" @default.
- W1664599536 title "Formes de torsion analytique et familles de submersions" @default.
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- W1664599536 doi "https://doi.org/10.1016/s0764-4442(99)80346-2" @default.
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