Seshadri constants express the so called local positivity of a line bundle on a projective
variety. They were introduced in [Dem92] by Demailly. The original hope of using them …

The notion of ak-convex Δ-support function for a toric variety X(Δ) is introduced. A criterion
for a line bundle L to generate k-jets on X is given in terms of the k-convexity of the Δ-support …

The notion of higher order dual varieties of a projective variety, introduced by Piene in 1983,
is a natural generalization of the classical notion of projective duality. In this paper we study …

Nous démontrons une borne inférieure sur la constante de Seshadri ε (L) sur un surface K 3
telle que Pic S≃ Z [L]. En particulier, nous obténons que ε (L)= α si L 2= α 2 pour un nombre …

We show that vanishing of asymptotic-th syzygies implies-very ampleness for line bundles
on arbitrary projective schemes. For smooth surfaces, we prove that the converse holds …

On higher order embeddings of Calabi-Yau threefolds Page 1 On higher order embeddings
of Calabi-Yau threefolds By MAURO C. BELTRAMETTI and TOMASZ SZEMBERG Abstract …

We compute Seshadri constants ε(X):=ε(\mathcalO_X(1)) on K3 surfaces X of degrees 6 and
8. We also prove that if X is any embedded K3 surface of degree 2r− 2≥ 8 in \mathbbP^r not …

We study Gauss maps of order k, associated to a projective variety X embedded in projective
space via a line bundle L. We show that if X is a smooth, complete complex variety and L is a …

Jet ampleness of line bundles generalizes very ampleness by requiring the existence of
enough global sections to separate not just points and tangent vectors, but also their higher …