DELIGNE-RIEMANN-ROCH AND INTERSECTION BUNDLES
Journal article, 2024

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 canonical 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.

categorification

virtual categories

Deligne program

intersection bundles

Grothendieck-Riemann- Roch

Author

Dennis Eriksson

Chalmers, Mathematical Sciences, Algebra and geometry

University of Gothenburg

Gerard Freixas Montplet

École polytechnique

Journal de l'Ecole Polytechnique - Mathematiques

24297100 (ISSN) 2270518X (eISSN)

Vol. 11

Mirror symmetry at genus one

Swedish Research Council (VR) (2021-03838), 2022-01-01 -- 2025-12-31.

Subject Categories

Geometry

DOI

10.5802/jep.254

More information

Latest update

6/18/2024