97 citations
- École PolytechniqueFR117 papers
- Centre National de la Recherche ScientifiqueFR41 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR17 papers
- Sorbonne UniversitéFR12 papers
- Laboratoire Jacques-Louis LionsFR9 papers
- Centre de Recherche en Mathématiques de la DécisionFR8 papers
- Département de mathématiques et applicationsFR8 papers
- Université Paris CitéFR7 papers
- École Normale Supérieure - PSLFR6 papers
- Université Paris-SaclayFR6 papers
- Analyse, Géométrie et ModélisationFR4 papers
- CY Cergy Paris UniversitéFR4 papers
216 papers
Moderate and rapid-decay nearby cycles for holonomic D-modules
Claude Sabbah
We introduce the notion of moderate and rapid decay nearby cycles relative to a holomorphic function for an arbitrary holonomic -module. They are proved to be $\ma…
An atomic criterion for irrationality without quantum computations
Vladimiro Benedetti, Aideen Fay, Jérémy Guéré +2
The birational invariants introduced by Katzarkov-Kontsevich-Pantev-Yu allows one to obtain irrationality results for varieties whose quantum cohomology is well-behaved. We observe…
Quantum cohomology and irrationality of Gushel-Mukai fourfolds
Vladimiro Benedetti, Laurent Manivel, Nicolas Perrin
We compute the small quantum cohomology of Gushel-Mukai fourfolds. Following [13], our computations imply that the very general ones are not rational. Following [8], and thanks to…
On the rigidity of the stable norm and Mather's β-function for geodesic flows
Anna Florio, Martin Leguil, Alfonso Sorrentino
We investigate rigidity phenomena associated to the stable norm and Mather's -function for Riemannian geodesic flows on closed manifolds. Given two metrics and , we c…
The Davenport constant of balls and boxes
Benjamin Girard, Alain Plagne
Given an additively written abelian group and a set , we let denote the Davenport constant of , namely the largest non-negative integer for…
The Deligne-Riemann-Roch isomorphism
Dennis Eriksson, Gerard Freixas i Montplet
This work establishes the geometric component of Deligne's longstanding program on refined Grothendieck-Riemann-Roch formulas expressed through determinants of cohomology. The appr…