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

A smooth variety X over complex numbers is called Fano if its anticanonical divisor—Kx is
ample. The purpose of this note is to collect some results on contractions of extremal rays …

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

Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo
surfaces Page 1 Invent math (2009) 178: 173–227 DOI 10.1007/s00222-009-0199-1 Stable …

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

Appendix (by Mauro C. Beltrametti, Andrew J. Sommese). Applications to adjunction theory.
References. Introduction. Let L be an ample line bundle on a smooth connected n …

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 …

This gives an affirmitive answer to a conjecture of Mukai [Mu], and improves upon a result in
[YZ], from which we borrow the idea of the proof. Our argument depends heavily on the …

The goal of this paper is to study the geometry of cusped complex hyperbolic manifolds
through their compactifications. We characterize toroidal compactifications with non-nef …

Let (X, L) be a quasi-polarized variety of dim X= n. In this paper we give a new invariant (the
i-th sectional geometric genus) of (X, L), which is a generalization of the degree and the …