Lecture Notes on Quantum Cohomology of the Flag Manifold
Lectures on spherical and wonderful varieties
These notes contain an introduction to the theory of spherical and wonderful varieties. We describe the Luna-Vust theory of embeddings of spherical homogeneous spaces, and explain how wonderful varieties fit in the theory.
Lefschetz Fibrations and real Lefschetz fibrations
This note is based on the lectures that I have given during the winter school Winter Braids IV, School on algebraic and topological aspects of braid groups held in Dijon on 10 - 13 February 2014. The aim of series of three lectures was to give an overview of geometrical and topological properties of 4-dimensional Lefschetz fibrations. Meanwhile, I could briefly introduce real Lefschetz fibrations, fibrations which have certain symmetry, and could present some interesting features of them.This note...
Lefschetz formulae for arithmetic varieties.
Lefschetz theorems on quasi-projective varieties
Lefschetz trace formulas and explicit formulas in analytic number theory.
Lefschetz-Riemann-Roch theorem and coherent trace formula.
Lefschetz-Riemann-Roch theorem for smooth algebraic schemes.
Lefschetzsätze und Hyperkonvexität.
Lehmer’s conjecture for polynomials satisfying a congruence divisibility condition and an analogue for elliptic curves
A number of authors have proven explicit versions of Lehmer’s conjecture for polynomials whose coefficients are all congruent to modulo . We prove a similar result for polynomials that are divisible in by a polynomial of the form for some . We also formulate and prove an analogous statement for elliptic curves.
Lehrsätze über das Strahlensystem erster Ordnung aus erster Classe und den linearen Strahlencomplex.
Lelong classes on toric manifolds and a theorem of Siciak
We generalize a theorem of Siciak on the polynomial approximation of the Lelong class to the setting of toric manifolds with an ample line bundle. We also characterize Lelong classes by means of a growth condition on toric manifolds with an ample line bundle and construct an example of a nonample line bundle for which Siciak's theorem does not hold.
Lemme fondamental et endoscopie, une approche géométrique
Le “principe de fonctorialité”, conjecturé par Langlands à la fin des années 60, est un moyen remarquablement synthétique d’unifier et exprimer certains liens profonds entre formes automorphes, arithmétique et géométrie algébrique. Son apparente simplicité contraste fortement avec la difficulté des techniques utilisées pour l’aborder. Parmi celles-ci, la stabilisation de la formule des traces d’Arthur–Selberg bute depuis 25 ans sur une conjecture d’analyse harmonique sur des groupes -adiques :...
Lemmes de mulitiplicités et intersections.
Lemmes de Siegel d'évitement
Lemmes de zéros dans les groupes algébriques commutatifs
Lemmes de zéros et nombres transcendants
Length 2 variables of A[x,y] and transfer
We construct and study length 2 variables of A[x,y] (A is a commutative ring). If A is an integral domain, we determine among these variables those which are tame. If A is a UFD, we prove that these variables are all stably tame. We apply this construction to show that some polynomials of A[x₁,...,xₙ] are variables using transfer.
Length Formulas for the Local Cohomology of Exterior Powers.
Length of Extremal Rays and Generalized Adjunction.