Centre de Mathématiques Laurent Schwartz

output

19942026

most citedGerms of arcs on singular algebraic varieties and motivic integration

209 citations

researchers with a paper here

collaborating institutions

558 papers

math.AG2026

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 $f$ for an arbitrary holonomic $D$ -module. They are proved to be $\ma…

math.AG2026

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…

math.AG2026

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…

math.DS2025

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 $β$ -function for Riemannian geodesic flows on closed manifolds. Given two metrics $g_{1}$ and $g_{2}$ , we c…

math.NT2025

The Davenport constant of balls and boxes

Benjamin Girard, Alain Plagne

Given an additively written abelian group $G$ and a set $X \subseteq G$ , we let $D (X)$ denote the Davenport constant of $X$ , namely the largest non-negative integer $n$ for…

math.AG2025

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…