Suppose that X is a topological space, f is a real valued function on X, and c is a real
number. Then we will denote by X≤ c the subspace of points x in X such that f (x)≤ c. The …

This introductive chapter is mainly a review of the basic tools and concepts which will be
employed in the rest of the book: differential forms, currents, holomorphic and …

During the last twenty years algebraic geometry has experienced a remarkable shift from
development of abstract theories to investigation of concrete properties of projective …

The main purpose of this book is to describe analytic techniques which are useful to study
questions such as linear series, multiplier ideals and vanishing theorems for algebraic …

Page 1 DE GRUYTER Mauro C. Beltrametti EXPOSITIONS IN MATHEMATICS 16 Andrew J.
Sommese The Adjunction Theory of Complex Projective Varieties W DE G Page 2 ! Page 3 de …

Transcendental methods of algebraic geometry have been extensively studied since a very
long time, starting with the work of Abel, Jacobi and Riemann in the nineteenth century …

Our main purpose here is to describe a few analytic tools which are useful to study questions
such as linear series and vanishing theorems for algebraic vector bundles. One of the early …

Introduction § O. Notation, Conventions, and Preliminary Facts § l. Generic Linear Sections §
2. Arbitrary Linear Sections § 3. The Connectedness Theorem § 4. Intersections § 5 …

We give a geometric proof of the Decomposition Theorem of Beilinson, Bernstein, Deligne
and Gabber for the direct image of the intersection cohomology complex under a proper …

In recent years, the equations defining a projective variety X= P'and the syzygies among
them have attracted considerable attention. Classical results giving conditions to guarantee …