The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms

Autor:	Gil, José Ignacio Burgos, Montplet, Gerard Freixas i, Litcanu, Razvan
Rok vydání:	2012
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory 14G40 14C40
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1211.1783 Zobrazit plný text záznamu View this record from Arxiv