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arXiv · 2305.13129

Deligne-Riemann-Roch and intersection bundles

Dennis Eriksson·Gerard Freixas i Montplet
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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.

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Dennis Eriksson, Gerard Freixas i Montplet. 2023-05-22. Deligne-Riemann-Roch and intersection bundles. https://arxiv.org/abs/2305.13129

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