Page 1 DE GRUYTER Mauro C. Beltrametti, Andrew J. Sommese THE ADJUNCTION THEORY
OF COMPLEX PROJECTIVE VARIETIES DE GRUYTER EXPOSITIONS IN MATHEMATICS DE G …

Projective duality is a very classical notion naturally arising in various areas of mathematics,
such as algebraic and differential geometry, combinatorics, topology, analytical mechanics …

Providing an introduction to both classical and modern techniques in projective algebraic
geometry, this monograph treats the geometrical properties of varieties embedded in …

In this paper we address Fano foliations on complex projective varieties. These are foliations
ℱ whose anti-canonical class− Kℱ is ample. We focus our attention on a special class of …

This article is an expanded version of a conference lecture which surveyed some of the
results on homogeneous vector bundles over projective varieties appearing in the papers …

For several centuries, various reincarnations of projective duality have inspired research in
algebraic and differential geometry, classical mechanics, invariant theory, combinatorics …

Introduction. In this paper we discuss some recent results about maps of complex algebraic
varieties. A contraction p: X→ Z is a proper surjective map of normal varieties with connected …

We study a particular class of rationally connected manifolds,, such that two general points x,
x′∈ X may be joined by a conic contained in X. We prove that these manifolds are Fano …

Let L be a very ample line b ndle on a smooth,«-dimensional, connected, complex,
projective manifold, X. Let Q) denote the discriminant variety of (X, L), ie the set@ a\L\of …

Small codimensional embedded manifolds defined by equations of small degree are Fano
and covered by lines. They are complete intersections exactly when the variety of lines …