This two volume work on Positivity in Algebraic Geometry contains a contemporary account
of a body of work in complex algebraic geometry loosely centered around the theme of …

The aim of this book is to provide an introduction to the structure theory of higher
dimensional algebraic varieties by studying the geometry of curves, especially rational …

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic
varieties. This very active area of research is still developing, but an amazing quantity of …

Fano manifolds are, by definition, smooth projective varieties with ample first Chern class (=
anticanonical class). They are of special interest from the viewpoint of classification theory …

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

We prove that every globally F-regular variety is log Fano. In other words, if a prime
characteristic variety X is globally F-regular, then it admits an effective Q-divisor Δ such that …

Knowledge is a collective good. Only a small part of our knowledge of the world is generated
by our own personal experience. Relying on what others say is one of the most fundamental …

This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung
held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the …

A fundamental goal of algebraic geometry is to do for singular varieties whatever we can do
for smooth ones. Intersection homology, for example, directly produces groups associated to …

An endomorphism f of a projective variety X is polarized (resp. quasi-polarized) if f⁎ H∼ q H
(linear equivalence) for some ample (resp. nef and big) Cartier divisor H and integer q> 1 …