Liaison des variétés algébriques. I.
Liaison Equivalence Classes.
Liasion of monomial curves in P3.
Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0.
Lie description of higher obstructions to deforming submanifolds
To every morphism of differential graded Lie algebras we associate a functors of artin rings whose tangent and obstruction spaces are respectively the first and second cohomology group of the suspension of the mapping cone of . Such construction applies to Hilbert and Brill-Noether functors and allow to prove with ease that every higher obstruction to deforming a smooth submanifold of a Kähler manifold is annihilated by the semiregularity map.
Lie ideals and Jordan triple derivations in rings
Lieu des points de rencontre des tangentes communes à une conique et à un cercle
Lieu des sommets des trièdres trirectangles dont les côtés sont normaux à une surface du second ordre
Lieu discriminant d’un germe analytique de corang 1 de vers
On considère des germes d’applications analytiques de vers , de corang 1, finis, à lieu critique irréductible. De corang 1 signifie qu’il s’écrit après un bon choix de coordonnées locales sous la forme: où . On donne des conditions nécessaires et suffisantes pour qu’une courbe plane irréductible soit le lieu discriminant d’un tel germe d’applications : ce sont des conditions numériques portant sur les exposants de Puiseux. Ce problème est lié à celui de la représentation d’une variété lagrangienne...
Lieu singulier d'une surface réglée
Lifting Abelian Varieties.
Lifting -modules from positive to zero characteristic
We study liftings or deformations of -modules ( is the ring of differential operators from EGA IV) from positive characteristic to characteristic zero using ideas of Matzat and Berthelot’s theory of arithmetic -modules. We pay special attention to the growth of the differential Galois group of the liftings. We also apply formal deformation theory (following Schlessinger and Mazur) to analyze the space of all liftings of a given -module in positive characteristic. At the end we compare the problems...
Lifting differential operators from orbit spaces
Lifting endomorphisms of formal -modules
Lifting Galois representations and a conjecture of Fontaine and Mazur.
Lifting mappings over invariants of finite groups.
Lifting Witt subgroups to characteristic zero.
Limit linear series: Basic theory.
Limit trees and generic discriminants of minimal surface singularities
According to R. Bondil the dual graph of the minimal resolution of a minimal normal surface singularity determines the generic discriminant of that singularity. In this article we give with combinatorial arguments the link between the limit trees and the generic discriminants of minimal normal surface singularities. The weighted limit trees of a minimal surface singularity determine the generic discriminant of that singularity.
Limit Weierstrass schemes on stable curves with 2 irreducible components
We are concerned with limits of Weierstrass points under degeneration of smooth curves to stable curves of non compact type, union of two irreducible smooth components meeting transversely at points. The case having already been treated by Eisenbud and Harris in [8], we analyze the situation for .