Deligne-Riemann-Roch and intersection bundles
From MaRDI portal
Publication:6122620
DOI10.5802/jep.254arXiv2305.13129MaRDI QIDQ6122620
Dennis Eriksson, Gerard Freixas i Montplet
Publication date: 1 March 2024
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.13129
Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) Higher algebraic (K)-theory (19D99) Symmetric monoidal categories (19D23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Métriques sur les fibrés d'intersection. (Metrics on intersection fiber bundles)
- Intersection sheaves over normal schemes
- An isomorphism of the Deligne-Riemann-Roch type
- Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
- The analysis of elliptic families. I: Metrics and connections on determinant bundles
- The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
- The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
- Determinant functors on exact categories and their extensions to categories of bounded complexes
- Cube structures and intersection bundles
- De Rham \(\mathcal E\)-factors
- Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry
- On determinant functors and \(K\)-theory
- An arithmetic Riemann-Roch theorem
- Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- Categories tannakiennes
- Le théorème de Riemann-Roch
- Fibrés d'intersections et intégrales de classes de Chern
- Beware the Phony Multiplication on Quillen's a -1 a
- First quadrant spectral sequences in algebraic k-theory via homotopy colimits
- Higher algebraic K-theory: I
- The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
- Homotopy colimits in the category of small categories
- Ring completion of rig categories
- A Local Refinement of the Adams–Riemann–Roch Theorem in Degree One
- Differentiability of Relative Volumes Over an Arbitrary Non-Archimedean Field
- From Categories to Homotopy Theory
- Some Fundamental Lemmas on Projective Schemes
- Simplicial homotopy theory
This page was built for publication: Deligne-Riemann-Roch and intersection bundles
