3.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR1.1k papers
- Observatoire de la Côte d’AzurFR595 papers
- Lagrange LaboratoryFR303 papers
- Laboratoire Jean-Alexandre DieudonnéFR217 papers
- Observatoire de ParisFR183 papers
- Université Paris DiderotFR149 papers
- National Institute for AstrophysicsIT147 papers
- Institut de Physique de NiceFR131 papers
- Sapienza University of RomeIT119 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR118 papers
- Université Pierre-et-Marie-CurieFR118 papers
- European Southern ObservatoryCL108 papers
48 papers · 1 filter
The Hitchin connection in arbitrary characteristic
Thomas Baier, Michele Bolognesi, Johan Martens +1
We give an algebro-geometric construction of the Hitchin connection, valid also in positive characteristic (with a few exceptions). A key ingredient is a substitute for the Narasim…
Opers of higher types, Quot-schemes and Frobenius instability loci
Kirti Joshi, Christian Pauly
In this paper we continue our study of the Frobenius instability locus in the coarse moduli space of semi-stable vector bundles of rank and degree over a smooth projective…
Higgs bundles, abelian gerbes and cameral data
Oscar García-Prada, Ana Peón-Nieto
We study the Hitchin map for -Higgs bundles on a smooth curve, where is a quasi-split real form of a complex reductive algebraic group . By look…
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka +1
We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. For this purpose we develop motivic integration in the real al…
The wobbly divisors of the moduli space of rank- vector bundles
Sarbeswar Pal, Christian Pauly
Let be a smooth projective complex curve of genus and let $\M_X(2,Λ)$ be the moduli space of semi-stable rank- vector bundles over with fixed determinant .…
Unramified covers and branes on the Hitchin system
Emilio Franco, Peter Gothen, André Oliveira +1
We study the locus of the moduli space of Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under an unramified cover. We equip these loci with a hyperh…
Real intersection homology
Clint McCrory, Adam Parusinski
We present a definition of intersection homology for real algebraic varieties that is analogous to Goresky and MacPherson's original definition of intersection homology for complex…
Validity proof of Lazard's method for CAD construction
Scott McCallum, Adam Parusinski, Laurentiu Paunescu
In 1994 Lazard proposed an improved method for cylindrical algebraic decomposition (CAD). The method comprised a simplified projection operation together with a generalized cell li…
Brown's moduli spaces of curves and the gravity operad
Clément Dupont, Bruno Vallette
This paper is built on the following observation: the purity of the mixed Hodge structure on the cohomology of Brown's moduli spaces is essentially equivalent to the freeness of th…
On fundamental groups of plane curve complements
Enrique Artal Bartolo, Alexandru Dimca
In this paper we discuss some properties of fundamental groups and Alexander polynomials of plane curves. We discuss the relationship of the non-triviality of Alexander polynomials…
On tangential deformations of homogeneous polynomials
Zhenjian Wang
The Jacobian ideal provides the set of infinitesimally trivial deformations for a homogeneous polynomial, or for the corresponding complex projective hypersurface. In this article,…
On the fundamental groups of normal varieties
Donu Arapura, Alexandru Dimca, Richard Hain
We show that the fundamental groups of normal complex algebraic varieties share many properties of the fundamental groups of smooth varieties. The jump loci of rank one local syste…
Syzygies of Jacobian ideals and weighted homogeneous singularities
Alexandru Dimca, Gabriel Sticlaru
Let be a projective hypersurface having only isolated singularities. We show that these singularities are weighted homogeneous if and only if the Koszul syzygies among the part…
An inverse mapping theorem for blow-Nash maps on singular spaces
Jean-Baptiste Campesato
A semialgebraic map between two real algebraic sets is called blow-Nash if it can be made Nash (i.e. semialgebraic and real analytic) by composing with finitely many blo…
On Hodge Theory of Singular Plane Curves
Nancy Abdallah
The dimensions of the graded quotients of the cohomology of a plane curve complement with respect to the Hodge filtration are described in terms of simple geometrical invariants. T…
On homogeneous polynomials determined by their Jacobian ideal
Zhenjian Wang
We investigate which homogeneous polynomials are determined by their Jacobian ideals, and extend and complete previous results due to J. Carlson and Ph. Griffiths, K. Ueda and M. Y…
On the monodromy of Milnor fibers of hyperplane arrangements
Pauline Bailet
We describe a general setting where the monodromy action on the first cohomology group of the Milnor fiber of a hyperplane arrangement is the identity.
Harmonic Maps to Buildings and Singular Perturbation Theory
Ludmil Katzarkov, Alexander Noll, Pranav Pandit +1
The notion of a universal building associated with a point in the Hitchin base is introduced. This is a building equipped with a harmonic map from a Riemann surface that is initial…
Multiple Derived Lagrangian Intersections
Oren Ben-Bassat
We give a new way to produce examples of Lagrangians in shifted symplectic derived stacks, based on multiple intersections. Specifically, we show that an m-fold fiber product of La…
Lagrangian structures on mapping stacks and semi-classical TFTs
Damien Calaque
We extend a recent result of Pantev-Toen-Vaquie-Vezzosi, who constructed shifted symplectic structures on derived mapping stacks having a Calabi-Yau source and a shifted symplectic…
Minimal models for Kähler threefolds
Andreas Höring, Thomas Peternell
Let X be a compact Kähler threefold that is not uniruled. We prove that X has a minimal model.
Number of Jordan blocks of the maximal size for local monodromies
Alexandru Dimca, Morihiko Saito
We prove formulas for the number of Jordan blocks of the maximal size for local monodromies of one-parameter degenerations of complex algebraic varieties where the bound of the siz…
The weight filtration for real algebraic varieties II: Classical homology
Clint McCrory, Adam Parusinski
We associate to each real algebraic variety a filtered chain complex, the weight complex, which is well-defined up to filtered quasi-isomorphism, and which induces on classical (co…
Chebyshev curves, free resolutions and rational curve arrangements
Alexandru Dimca, Gabriel Sticlaru
First we construct a free resolution for the Milnor (or Jacobian) algebra of a complex projective Chebyshev plane curve $\CC_d:f=0$ of degree . In particular, this resolu…