9 citations · 11 across the 3 of their papers we have counts for
4 papers
The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms
José Ignacio Burgos Gil, Gerard Freixas i Montplet, Razvan Litcanu
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 ari…
Hermitian structures on the derived category of coherent sheaves
José Ignacio Burgos Gil, Gerard Freixas i Montplet, Razvan Litcanu
The main objective of the present paper is to set up the theoretical basis and the language needed to deal with the problem of direct images of hermitian vector bundles for project…
Generalized holomorphic analytic torsion
J. I. Burgos Gil, G. Freixas i Montplet, R. Litcanu
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 axi…
Singular Bott-Chern classes and the arithmetic Grothendieck-Riemann-Roch theorem for closed immersions
J. I. Burgos Gil, R. Litcanu
We study the singular Bott-Chern classes introduced by Bismut, Gillet and Soule. Singular Bott-Chern classes are the main ingredient to define direct images for closed immersions i…