Inégalité de Vojta en dimension supérieure
Inégalité de Vojta généralisée
La méthode que Vojta a introduite dans sa preuve de la conjecture de Mordell et que Faltings a étendue pour prouver la conjecture de Lang sur les sous-variétés de variétés abéliennes repose sur une inégalité de hauteurs obtenue par approximation diophantienne. Nous montrons qu’une telle inégalité peut s’énoncer de manière très générale en dehors du contexte des groupes algébriques. Ce faisant, nous lui conférons également plus de souplesse, ce qui conduit à des applications nouvelles même sur les...
Inegalite relative des genres.
Inégalités numériques pour les surfaces de type général. Appendice : «L’inégalité pour les surfaces de type général» par A. Beauville
Inequalities defining orbit spaces.
Infinite Grassmannians and moduli spaces of G-bundles.
Infinite rank of elliptic curves over
If E is an elliptic curve defined over a quadratic field K, and the j-invariant of E is not 0 or 1728, then has infinite rank. If E is an elliptic curve in Legendre form, y² = x(x-1)(x-λ), where ℚ(λ) is a cubic field, then has infinite rank. If λ ∈ K has a minimal polynomial P(x) of degree 4 and v² = P(u) is an elliptic curve of positive rank over ℚ, we prove that y² = x(x-1)(x-λ) has infinite rank over .
Infinite Root Systems, Representations of Graphs and Invariant Theory.
Infinitely near imposed singularities and singularities of polar curves.
Infinitesimal deformations of complex surfaces with boundary.
Infinitesimal Deformations of Cusp Singularities.
Infinitesimal deformations of quotient surface singularities
Infinitesimal unipotent group schemes of complexity 1
We classify the uniserial infinitesimal unipotent commutative groups of finite representation type over algebraically closed fields. As an application we provide detailed information on the structure of those infinitesimal groups whose distribution algebras have a representation-finite principal block.
Infinitesimal variations of hodge structure (I)
Infinitesimal variations of hodge structure (II) : an infinitesimal invariant of hodge classes
Infinitesimal variations of hodge structure (III) : determinantal varieties and the infinitesimal invariant of normal functions
Infinitesimale Deformationen von Diedersingularitäten.
Inflated mappings for singularities of codimension
Inflection points on real plane curves having many pseudo-lines.
Injective endomorphisms of algebraic and analytic sets
We prove that every injective endomorphism of an affine algebraic variety over an algebraically closed field of characteristic zero is an automorphism. We also construct an analytic curve in ℂ⁶ and its holomorphic bijection which is not a biholomorphism.