Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

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

José Ignacio Burgos Gil;  Gerard Freixas i Montplet;  Răzvan Liţcanu — 2014

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper we extend the arithmetic Grothendieck-Riemann-Roch Theorem to projective morphisms between arithmetic varieties that are not necessarily smooth over the complex numbers. The main ingredient of this extension is the theory of generalized holomorphic analytic torsion classes previously developed by the authors.

Generalized holomorphic analytic torsion

José Ignacio Burgos Gil;  Gerard Freixas i Montplet;  Răzvan Liţcanu — 2014

Journal of the European Mathematical Society

In this paper we extend the holomorphic analytic torsion classes of Bismut and Köhler to arbitrary projective morphisms between smooth algebraic complex varieties. To this end, we propose an axiomatic definition and give a classification of the theories of generalized holomorphic analytic torsion classes for projective morphisms. The extension of the holomorphic analytic torsion classes of Bismut and Köhler is obtained as the theory of generalized analytic torsion classes associated to – R = 2 , R being...

Page 1

Download Results (CSV)