Caractérisations de l'espace projectif (conjectures de Hartshorne et de Frankel)
Charakteristiken und Schnittzahlformeln für p-l-s-Kegelschnitte
Chen–Ruan Cohomology of and
In this work we compute the Chen–Ruan cohomology of the moduli spaces of smooth and stable -pointed curves of genus . In the first part of the paper we study and describe stack theoretically the twisted sectors of and . In the second part, we study the orbifold intersection theory of . We suggest a definition for an orbifold tautological ring in genus , which is a subring of both the Chen–Ruan cohomology and of the stringy Chow ring.
Classical Godeaux Surface in Characteristic P.
Classical projective geometry and arithmetic groups.
Classification of Buchsbaum subvarieties of codimension 2 in projective space.
Classification of Maximal Rank Curves in the Liasion Class Ln.
Classification of smooth congruences of low degree.
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