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arXiv · 1211.1783

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

José Ignacio Burgos Gil·Gerard Freixas i Montplet·Razvan Litcanu
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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.

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José Ignacio Burgos Gil, Gerard Freixas i Montplet, Razvan Litcanu. 2012-11-08. The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms. https://arxiv.org/abs/1211.1783

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