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

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

Annales de la faculté des sciences de Toulouse Mathématiques (2014)

  • Volume: 23, Issue: 3, page 513-559
  • ISSN: 0240-2963

Abstract

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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.

How to cite

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Burgos Gil, José Ignacio, Freixas i Montplet, Gerard, and Liţcanu, Răzvan. "The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms." Annales de la faculté des sciences de Toulouse Mathématiques 23.3 (2014): 513-559. <http://eudml.org/doc/275359>.

@article{BurgosGil2014,
abstract = {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.},
author = {Burgos Gil, José Ignacio, Freixas i Montplet, Gerard, Liţcanu, Răzvan},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {Arakelov theory; Grothendieck-Riemann-Roch theorem; projective morphism},
language = {eng},
number = {3},
pages = {513-559},
publisher = {Université Paul Sabatier, Toulouse},
title = {The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms},
url = {http://eudml.org/doc/275359},
volume = {23},
year = {2014},
}

TY - JOUR
AU - Burgos Gil, José Ignacio
AU - Freixas i Montplet, Gerard
AU - Liţcanu, Răzvan
TI - The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2014
PB - Université Paul Sabatier, Toulouse
VL - 23
IS - 3
SP - 513
EP - 559
AB - 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.
LA - eng
KW - Arakelov theory; Grothendieck-Riemann-Roch theorem; projective morphism
UR - http://eudml.org/doc/275359
ER -

References

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