2007/01/01 by Jean‐Michel Bismut, Henri Gillet, Christophe Soulé · 1 citation
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics
paper · doi:10.1007/978-0-8176-4574-8_8
openalex publication_date 2007/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
In this paper we establish an arithmetic Riemann-Roch-Grothendieck Theorem for immersions. Our final formula involves the Bott-Chern currents attached to certain holomorphic complexes of Hermitian vector bundles, which were previously introduced by the authors. The functorial properties of such currents are studied. Explicit formulas are given for Koszul complexes. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.