25 citations · 80 across the 20 of their papers we have counts for
22 papers
On a multiplicative perturbation of Laguerre polynomials
Julien Grivaux
In this article, we study the family of polynomials \[ P_n(s, z)=\sum_{k=0}^n s^{(k)} z^{n-k} \] for . We prove that its roots are simple, and provide a precise localisation o…
Koszul complexes and derived intersections
Tristan Bozec, Julien Grivaux
The aim of this article is to provide a complementary understanding to some results of the second author using the machinery of Koszul complexes, and to explain how this approach c…
Duality, polarity and convolution in umbral calculus
Julien Grivaux
In this paper, we revisit foundations of umbral calculus using a straightforward approach based on an explicit matrix realization of binomial convolution. We construct an umbral du…
On the isotropy stratification of a real representation of a compact Lie group
Perla Azzi, Rodrigue Desmorat, Julien Grivaux +1
The aim of the present paper is to provide a comprehensive introduction to some algebraic and geometric aspects of real representations of compact Lie groups, as well as some resul…
Derived intersections and free dg-Lie algebroids
Julien Grivaux
We study free dg-Lie algebroids over arbitrary derived schemes, and compute their universal enveloping and jet algebras. We also introduce derived twisted connections, and relate t…
Formal moduli problems and formal derived stacks
Damien Calaque, Julien Grivaux
This paper presents a survey on formal moduli problems. It starts with an introduction to pointed formal moduli problems and a sketch of proof of a Theorem (independently proven by…
The Ext algebra of a quantized cycle
Damien Calaque, Julien Grivaux
Given a quantized analytic cycle in , we give a categorical Lie-theoretic interpretation of a geometric condition, discovered by Shilin Yu, that involves the second for…
Tian's invariant of the Grassmann manifold
Julien Grivaux
We prove that Tian's invariant on the complex Grassmann manifold is equal to .
On Lang's conjecture for some product-quotient surfaces
Julien Grivaux, Juliana Restrepo Velasquez, Erwan Rousseau
We prove effective versions of algebraic and analytic Lang's conjectures for product-quotient surfaces of general type with and .
Derived geometry of the first formal neighborhood of a smooth analytic cycle
Julien Grivaux
If is a smooth scheme of characteristic zero or a complex analytic manifold, and is a locally split infinitesimal thickening of , we compute explicitly the derived self-…
Loci in strata of meromorphic differentials with fully degenerate Lyapunov spectrum
Julien Grivaux, Pascal Hubert
We construct explicit closed GL(2, R)-invariant loci in strata of meromorphic differentials of arbitrary large dimension with fully degenerate Lyapunov spectrum. This answers a que…
Parabolic automorphisms of projective surfaces (after M. H. Gizatullin)
Julien Grivaux
In 1980, Gizatullin classified rational surfaces endowed with an automorphism whose action on the Neron-Severi group is parabolic: these surfaces are endowed with an elliptic fibra…
Formality of derived intersections
Julien Grivaux
We study derived intersections of smooth analytic cycles, and provide in some cases necessary and sufficient conditions for this intersection be formal. In particular, if X is a co…
Infinitesimal deformations of rational surface automorphisms
Julien Grivaux
If is a rational surface without nonzero holomorphic vector field and is an automorphism of , we study in several examples the Zariski tangent space of the local deforma…
Variation of the holomorphic determinant bundle
Julien Grivaux
In this paper, we prove that the Grothendieck-Riemann-Roch formula in Deligne cohomology computing the determinant of the cohomology of a holomorphic vector bundle on the fibers of…
The Hochschild-Kostant-Rosenberg isomorphism for quantized analytic cycles
Julien Grivaux
In this article, we provide a detailed account of a construction sketched by Kashiwara in an unpublished manuscript concerning generalized HKR isomorphisms for smooth analytic cycl…
Automorphisms of rational surfaces with positive entropy
Julie Déserti, Julien Grivaux
A complex compact surface which carries an automorphism of positive topological entropy has been proved by Cantat to be either a torus, a K3 surface, an Enriques surface or a ratio…
Topological properties of punctual Hilbert schemes of almost-complex fourfolds (II)
Julien Grivaux
In this article, we study the rational cohomology rings of Voisin's punctual Hilbert schemes associated to a symplectic compact fourfold . We prove that these rings ca…
Topological properties of punctual Hilbert schemes of almost-complex fourfolds (I)
Julien Grivaux
In this article, we study topological properties of Voisin's punctual Hilbert schemes of an almost-complex fourfold . In this setting, we compute their Betti numbers and constru…
On a conjecture of Kashiwara relating Chern and Euler classes of O-modules
Julien Grivaux
In this note we prove a conjecture of Kashiwara, which states that the Euler class of a coherent analytic sheaf F on a complex manifold X is the product of the Chern character of F…
Topological properties of punctual Hilbert schemes of symplectic 4-dimensional manifolds
Julien Grivaux
This paper has been replaced by the papers arXiv:1001.0114 and arXiv:1001.0119
Chern classes in Deligne cohomology for coherent analytic sheaves
Julien Grivaux
In this article, we construct Chern classes in rational Deligne cohomology for coherent sheaves on a smooth complex compact manifold. We prove that these classes verify the functor…