Variétés unirationnelles non rationnelles: au-delà de l'example d'Artin et Mumford.
Varieties Dominated by Cn.
Varieties in positive characteristic with trivial tangent bundle
Varieties of minimal rational tangents of codimension 1
Let be a uniruled projective manifold and let be a general point. The main result of [2] says that if the -degrees (i.e., the degrees with respect to the anti-canonical bundle of ) of all rational curves through are at least , then is a projective space. In this paper, we study the structure of when the -degrees of all rational curves through are at least . Our study uses the projective variety , called the VMRT at , defined as the union of tangent directions to the rational curves...
Varieties of modules over tubular algebras
We classify the irreducible components of varieties of modules over tubular algebras. Our results are stated in terms of root combinatorics. They can be applied to understand the varieties of modules over the preprojective algebras of Dynkin type 𝔸₅ and 𝔻₄.
Varieties of small degree over finite fields.
Varieties of small Kodaira dimension whose cotangent bundles are semiample
Varieties of special divisors on a curve. II.
Varieties of topological groups, Lie groups and SIN-groups
In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
Varieties Proper over Affine Schemes.
Varieties whose hyperplane section are bundles
Varieties with an extremal number of degenerate higher secant varieties.
Varieties with generically nef tangent bundles
We study various "generic" nefness and ampleness notions for holomorphic vector bundles on a projective manifold. We apply this in particular to the tangent bundle and investigate the relation to the geometry of the manifold.
Varieties with many lines.
Varieties with and dim
Varieties with small dual varieties, I.
Vecteurs propres de matrices de Jacobi
On montre que l’ensemble des matrices tridiagonales périodiques symétriques de spectre fixé possède une direction tangente privilégiée, construite à l’aide des vecteurs propres des matrices et de la jacobienne d’une courbe hyperelliptique. Il se trouve que cette direction est celle du célèbre flot de Toda périodique.
Vector bundles and low-codimensional submanifolds of projective space: a problem list
Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Vector Bundles on Abelian Surfaces.