The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle
Artikel i vetenskaplig tidskrift, 2021

Let π: X→ M be a holomorphic fibration with compact fibers and L a relatively ample line bundle over X. We obtain the asymptotic of the curvature of L -metric and Qullien metric on the direct image bundle π (L ⊗ K ) up to the lower order terms than k , for large k. As an application we prove that the analytic torsion τ (∂¯) satisfies ∂∂¯log(τk(∂¯))2=o(kn-1), where n is the dimension of fibers.

L -metric 2

Asymptotics

Curvature

Quillen metric

Holomorphic fibration

Författare

Xueyuan Wan

Chongqing University of Technology

Genkai Zhang

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Geometriae Dedicata

0046-5755 (ISSN) 1572-9168 (eISSN)

Vol. In Press

Ämneskategorier

Geometri

Diskret matematik

Matematisk analys

DOI

10.1007/s10711-021-00625-y

Mer information

Senast uppdaterat

2021-06-03