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Vanishing theorems and degeneracy loci in small corang. (Théoremès d'annulation et lieux de degenerescence en petit corang.)

Chaput, Pierre-Emmanuel (2004)

Documenta Mathematica

Varieities with low dimensional dual variety.

Roberto Munoz (1997)

Manuscripta mathematica

Varieties of minimal rational tangents of codimension 1

Jun-Muk Hwang (2013)

Annales scientifiques de l'École Normale Supérieure

Let $X$ be a uniruled projective manifold and let $x$ be a general point. The main result of [2] says that if the $(- K_{X})$ -degrees (i.e., the degrees with respect to the anti-canonical bundle of $X$ ) of all rational curves through $x$ are at least $dim X + 1$ , then $X$ is a projective space. In this paper, we study the structure of $X$ when the $(- K_{X})$ -degrees of all rational curves through $x$ are at least $dim X$ . Our study uses the projective variety $𝒞_{x} \subset ℙ T_{x} (X)$ , called the VMRT at $x$ , defined as the union of tangent directions to the rational curves...

Vector spaces of matrices of low rank and vector bundles on projective spaces: An addendum to a paper by Eisenbud and Harris.

Ballico, E. (1995)

Beiträge zur Algebra und Geometrie

Very ample line bundles on blown-up projective varieties.

Ballico, Edoardo, Coppens, Marc (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Displaying 1 – 8 of 8

Vanishing theorems and degeneracy loci in small corang. (Théoremès d'annulation et lieux de degenerescence en petit corang.)

Varieities with low dimensional dual variety.

Varieties of minimal rational tangents of codimension 1

Varieties with an extremal number of degenerate higher secant varieties.

Varieties with many lines.

Varieties with small dual varieties, I.

Vector spaces of matrices of low rank and vector bundles on projective spaces: An addendum to a paper by Eisenbud and Harris.

Very ample line bundles on blown-up projective varieties.

Currently displaying 1 – 8 of 8