Analytic torsion forms for fibrations by projective curves
Algebraic Geometry
2023-09-29 v2 Differential Geometry
Abstract
An explicit formula for analytic torsion forms for fibrations by projective curves is given. In particular one obtains a formula for direct images in Arakelov geometry in the corresponding setting. The main tool is a new description of Bismut's equivariant Bott-Chern current in the case of isolated fixed points.
Keywords
Cite
@article{arxiv.2208.14370,
title = {Analytic torsion forms for fibrations by projective curves},
author = {Kai Koehler},
journal= {arXiv preprint arXiv:2208.14370},
year = {2023}
}