Comments on the Links Between Modular Invariants, Simple Factors in the Jacobian of Fermat Curves, and Rational Triangular Billiards
Commutative rings of differential operators connected with two-dimensional Abelian varieties.
Commutative rings of differential operators corresponding to multidimensional algebraic varieties.
Compactification de l’espace des modules des variétés abéliennes principalement polarisées
Les variétés abéliennes principalement polarisées admettent un espace des modules grossier qu’on sait compactifier de plusieurs façons (compactification de Satake, compactifications toroïdales). Cependant, le problème s’est posé de construire une compactification “modulaire”en termes d’objets géométriques qui permettent de décrire les points du bord. On souhaite aussi compactifier l’application de Torelli qui à chaque courbe algébrique, projective et lisse, associe sa jacobienne. L’exposé présente...
Compactification du module des courbes
Compactification of the space of vector bundles on a singular curve.
Compactifications of moduli spaces of (semi)stable bundles on singular curves: two points of view.
Moduli spaces of vector bundles on families of non-singular curves are usually compactified by considering (slope)semistable bundles on stable curves. Alternatively, one could consider Hilbert-stable curves in Grassmannians. We study some properties of the latter and compare them with similar properties of curves coming from the former compactification. This leads to a new interpretation of the moduli space of (semi)stable torsion-free sheaves on a fixed nodal curve. One can present it as a quotient...
Compactified Jocobian of some unibranch curves.
Companion forms and Kodaira-Spencer theory.
Comparaison de deux notions de rationalité d'un dessin d'enfant
Soit un revêtement ramifié de défini sur . Lorsqu’on s’intéresse aux propriétés de rationalité de sur les les corps de nombres, on peut soit exiger que la base soit , soit l’autoriser à être une courbe de genre . Nous comparons ces deux points de vue pour les revêtements non ramifiés en dehors de
Comparaison entre la cohomologie algebrique et la cohomologie p-adique rigide ä coefficients dans un module differentiel I. (Cas des courbes).
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...
Compatibility of the theta correspondence with the Whittaker functors
We prove that the global geometric theta-lifting functor for the dual pair is compatible with the Whittaker functors, where is one of the pairs , or . That is, the composition of the theta-lifting functor from to with the Whittaker functor for is isomorphic to the Whittaker functor for .
Complete arcs arising from a generalization of the Hermitian curve
We investigate complete arcs of degree greater than two, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves, which is calculated by using exponential sums via Coulter's approach. We also single out some examples of maximal curves.
Complete determination of the number of Galois points for a smooth plane curve
Complete systems of addition laws on Abelian varieties.
Completion of the variety of conics with respect to contact conditions II
Complex algebraic plane curves via their links at infinity.
Complex analytic geometry of complex parallelizable manifolds
Complex Hyperbolic Surfaces of Abelian Type
2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07.We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ball. We characterize abelian surfaces which have a birational transform of hyperbolic type by the existence of a reduced divisor with only elliptic curve components and maximal singularity rate (equal to 4). We discover a Picard modular surface of...