Claudio Pedrini

Ciro Ciliberto

Fabrizio Catanese

Mauro C. Beltrametti

Antonio Lanteri

The volume consists of invited refereed research papers. The contributions cover a wide spectrum in algebraic geometry, from motives theory to numerical algebraic geometry and are mainly focused on higher dimensional varieties and Minimal Model Program and surfaces of general type. A part of the articles grew out a Conference in memory of Paolo Francia (1951-2000) held in Genova in September 2001 with about 70 participants.

A Volume in Memory of Paolo Francia

Algebraic Geometry

Thomas Peternell

Alan Huckleberry

Klaus Hulek

Hélène Esnault

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

Global Aspects of Complex Geometry

Ivan Smith

Paul Seidel

Gang Tian

Marco Manetti

Denis Auroux

Bernd Siebert

Modern approaches to the study of symplectic 4-manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher.

Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 2-10, 2003

Symplectic 4-Manifolds and Algebraic Surfaces

Fabrizio Catanese

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