Logarithmic decay and overconvergence of the unit root and associated zeta functions
Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties.
Logarithmic derivatives of Dirichlet -functions and the periods of abelian varieties
Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor
Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures.
Logarithmic forms and group varieties.
Logarithmic geometry and algebraic stacks
Logarithmic Surfaces and Hyperbolicity
In 1981 J. Noguchi proved that in a logarithmic algebraic manifold, having logarithmic irregularity strictly bigger than its dimension, any entire curve is algebraically degenerate.In the present paper we are interested in the case of manifolds having logarithmic irregularity equal to its dimension. We restrict our attention to Brody curves, for which we resolve the problem completely in dimension 2: in a logarithmic surface with logarithmic irregularity and logarithmic Kodaira dimension , any...
Logarithmic transformations on elliptic fiber spaces. II.
Log-cristaux et surconvergence
Nous montrons comment on peut construire en toute généralité un -isocristal surconvergent à partir d’un -log-cristal sur un log-schéma au-dessus du point trivial. Nous étudions ensuite les propriétés de cette construction.
Logique de la géométrie algébrique
Loi de réciprocité quadratique dans les corps quadratiques imaginaires
À partir d’une courbe elliptique définie sur le corps des classes de Hilbert d’un corps quadratique imaginaire et à multiplicité complexe par l’anneau des entiers de , on construit des fonctions elliptiques. Nous établissons des formules produits relatives à ces fonctions. De ce fait, nous obtenons une formulation analytique du lemme de Gauss généralisé ainsi qu’une expression explicite pour le symbole quadratique de Legendre défini sur l’anneau des entiers du corps quadratique imaginaire. Comme...
Lois de réciprocité liées aux courbes elliptiques
Lokale Algebra und lokale Geometrie.
Lokale und globale Invarianten der Hilbertschen Modulgruppe.
Lokal-Global-Prinzipien für die Brauergruppe.
Loop groups and equations of KdV type
Loop groups, elliptic singularities and principal bundles over elliptic curves
There is a well known relation between simple algebraic groups and simple singularities, cf. [5], [28]. The simple singularities appear as the generic singularity in codimension two of the unipotent variety of simple algebraic groups. Furthermore, the semi-universal deformation and the simultaneous resolution of the singularity can be constructed in terms of the algebraic group. The aim of these notes is to extend this kind of relation to loop groups and simple elliptic singularities. It is the...
L'opération de Cartier. Applications
Low pole order frames on vertical jets of the universal hypersurface
For low order jets, it is known how to construct meromorphic frames on the space of the so-called vertical -jets of the universal hypersurfaceparametrizing all projective hypersurfaces of degree . In 2004, for , Siu announced that there exist two constants and such that the twisted tangent bundleis generated at every point by its global sections. In the present article, we establish this property outside a certain exceptional algebraic subset defined by the vanishing of certain Wronskians,...