Closures of SL(2)-Orbits in Projective Spaces.
Cohomologie quantique
Combinatoire des arbres planaires et arithmétique des courbes hyperelliptiques
Le but de cet article est de proposer une nouvelle méthode pour des études dans le cadre de la théorie des “dessins d’enfants” de A. Grothendieck de certaines questions concernant l’action du groupe de Galois absolu sur l’ensemble des arbres planaires.On définit l’application qui associe à chaque arbre planaire à arêtes, une courbe hyperelliptique avec un point de -division. Cette construction permet d’établir un lien entre la théorie de la torsion des courbes hyperelliptiques et celle des “dessins...
Combinatorial aspects of the sequence of Milnor numbers of deformations
We use combinatorics to describe the topology of a singular irreducible plane curve germ f = 0 under small perturbation of parameters.
Combinatorial integers and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds.
Combinatorics of Mumford-Morita-Miller classes in low genus.
Combinatories and intersections of Schubert varieties.
Comparison theorems for Gromov–Witten invariants of smooth pairs and of degenerations
We consider four approaches to relative Gromov–Witten theory and Gromov–Witten theory of degenerations: J. Li’s original approach, B. Kim’s logarithmic expansions, Abramovich–Fantechi’s orbifold expansions, and a logarithmic theory without expansions due to Gross–Siebert and Abramovich–Chen. We exhibit morphisms relating these moduli spaces and prove that their virtual fundamental classes are compatible by pushforward through these morphisms. This implies that the Gromov–Witten invariants associated...
Complete Collineations and Blowing upDeterminantal Ideals.
Complete cubics in enumerative geometry
Completion of the variety of conics with respect to contact conditions II
Completion of the variety of conics with respect to contract conditions I
Computing the quantum cohomology of some Fano threefolds and its semisimplicity
We compute explicit presentations for the small Quantum Cohomology ring of some Fano threefolds which are obtained as one- or two-curve blow-ups from or the smooth quadric. Systematic usage of the associativity property of quantum product implies that only a very small and enumerative subset of Gromov- Witten invariants is needed. Then, for these threefolds the Dubrovin conjecture on the semisimplicity of Quantum Cohomology is proven by checking the computed Quantum Cohomology rings and by showing...
Concerning the existence of nice components in the Hilbert scheme of curves in ...n for n = 4 and 5.
Concours d'admission à l'École normale supérieure (année 1876)
Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group
Configurations of Kodaira fibers on rational elliptic surfaces.
Configurations of lines and general hyperplane sections.
Congruences of lines with one-dimensional focal locus.
Conic sections in space defined by intersection conditions.