Deligne-Riemann-Roch and intersection bundles
Algebraic Geometry
2023-06-09 v2 Category Theory
K-Theory and Homology
Abstract
This article is part of a series of works by the authors with the goal of completing a far-reaching program propounded by Deligne, aiming to extend the codimension one part of the Grothendieck-Riemann-Roch theorem from isomorphism classes of line bundles to isomorphisms thereof. The paper develops a relative functorial intersection theory with values in line bundles, together with a formalism that generalizes previous constructions by Deligne and Elkik, related to the right-hand side of the theorem.
Cite
@article{arxiv.2305.13129,
title = {Deligne-Riemann-Roch and intersection bundles},
author = {Dennis Eriksson and Gerard Freixas i Montplet},
journal= {arXiv preprint arXiv:2305.13129},
year = {2023}
}
Comments
99 pages, minor update correcting typos and grammar