English

Analytic torsion of Hirzebruch surfaces

Differential Geometry 2009-07-02 v1 Algebraic Geometry Number Theory

Abstract

Using different forms of the arithmetic Riemann-Roch theorem and the computations of Bott-Chern secondary classes, we compute the analytic torsion and the height of Hirzebruch surfaces.

Keywords

Cite

@article{arxiv.math/0401029,
  title  = {Analytic torsion of Hirzebruch surfaces},
  author = {Christophe Mourougane},
  journal= {arXiv preprint arXiv:math/0401029},
  year   = {2009}
}