Stable bundles and algebraically completely integrable systems
Stable Reflexive Sheaves. II.
Stable twisted curves and their -spin structures
The subject of this article is the notion of -spin structure: a line bundle whose th power is isomorphic to the canonical bundle. Over the moduli functor of smooth genus- curves, -spin structures form a finite torsor under the group of -torsion line bundles. Over the moduli functor of stable curves, -spin structures form an étale stack, but both the finiteness and the torsor structure are lost.In the present work, we show how this bad picture can be definitely improved just by placing...
Stable Vector Bundles of Rank 2 on IP3.
Stratifikation von Quotientenmannigfaltigkeiten (in Charakteristik 0) und insbesondere der Modulmannigfaltigkeiten für Kurven.
Stratifizierung im Hilbertschema. I. Raumkurven mit Singularitäten.
Su una congettura di Petri.
Subvarieties of Moduli Spaces.
Supersingular curves of genus two and class numbers
Sur la démonstration de A. Weil du théorème de Torelli pour les courbes
Sur le schéma de Hilbert des courbes gauches de degré et genre
Dans cet article, nous étudions le schéma de Hilbert des courbes gauches (de pure dimension 1 et sans points immergés) de degré et genre , qui est le plus grand genre pour lequel l’étude de est non triviale. Nous commençons par donner, pour chaque valeur de , tous les modules de Rao des courbes de et ses sous-schémas à cohomologie constante, et nous décrivons la courbe générique de chacun de ces sous-schémas. Nous déduisons ensuite les composantes irréductibles et la dimension de . Enfin,...
Sur les modules des singularités des courbes planes
Sur les schémas définissant les courbes rationnelles lisses de ayant fibré normal et fibré tangent restreint fixés
Systèmes pluricanoniques sur l’espace des modules des courbes et diviseurs de courbes -gonales
Tautological relations and the -spin Witten conjecture
In [11], A. Givental introduced a group action on the space of Gromov–Witten potentials and proved its transitivity on the semi-simple potentials. In [24, 25], Y.-P. Lee showed, modulo certain results announced by C. Teleman, that this action respects the tautological relations in the cohomology ring of the moduli space of stable pointed curves. Here we give a simpler proof of this result. In particular, it implies that in any semi-simple Gromov–Witten theory where arbitrary correlators can be...
The automorphism group of
The paper studies fiber type morphisms between moduli spaces of pointed rational curves. Via Kapranov’s description we are able to prove that the only such morphisms are forgetful maps. This allows us to show that the automorphism group of is the permutation group on elements as soon as .
The characteristic polynomial of a monodromy transformation attached to a family of curves.
The Chow ring of the stack of cyclic covers of the projective line
In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.
The Clifford dimension of a projective curve
The Complete Classification of Fibres in Pencils of Curves of Genus Two.