Le groupe de monodromie du déploiement des singularités isolées de courbes planes I.
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.
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.