The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms
Algebraic Geometry
2012-11-09 v1 Number Theory
Abstract
The classical arithmetic Grothendieck-Riemann-Roch theorem can be applied only to projective morphisms that are smooth over the complex numbers. In this paper we generalize the arithmetic Grothendieck-Riemann-Roch theorem to the case of general projective morphisms between regular arithmetic varieties. To this end we rely on the theory of generalized analytic torsion developed by the authors.
Cite
@article{arxiv.1211.1783,
title = {The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms},
author = {José Ignacio Burgos Gil and Gerard Freixas i Montplet and Razvan Litcanu},
journal= {arXiv preprint arXiv:1211.1783},
year = {2012}
}