Abstract
In this paper, we establish the curvature theorem of determinant line bundles for an orbifold Kähler fibration as an extension of Bismut–Gillet– Soulé’s curvature theorem. Then we introduce Bismut–Köhler analytic torsion form for an orbifold Kähler fibration. Finally we calculate the behaviour of the Quillen metric by orbifold submersions as an extension of Berthomieu– Bismut’s result.
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Ma, X. (2021). Orbifold Submersion and Analytic Torsions. In: Charollois, P., Freixas i Montplet, G., Maillot, V. (eds) Arithmetic L-Functions and Differential Geometric Methods . Progress in Mathematics, vol 338. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-65203-6_6
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DOI: https://doi.org/10.1007/978-3-030-65203-6_6
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-65202-9
Online ISBN: 978-3-030-65203-6
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