The series is aimed specifically at publishing peer-reviewed reviews and contributions presented at conferences, workshops, and international seminars as well as edited volumes commemorating and honoring significant achievements by mathematicians. This content covers various topics within pure and applied mathematics and provides up-to-date coverage of new developments, methods, and applications.

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.

Inhalt

Lucian Badescu and Michael Schneider: Formal functions, connectivity and homogeneous spaces · Luca Barbieri-Viale: On algebraic 1-motives related to Hodge cycles · Arnaud Beauville: The Szpiro inequality for higher genus fibrations · Giuseppe Borrelli: On regular surfaces of general type with pg = 2 and non-birational bicanonical map · Fabrizio Catanese and Frank-Olaf Schreyer: Canonical projections of irregular algebraic surfaces · Ciro Ciliberto and Margarida Mendes Lopes: On surfaces with pg = 2, q = 1 and non-birational bicanonical map · Alberto Conte, Marina Marchisio and Jacob Murre: On unirationality of double covers of fixed degree and large dimension; a method of Ciliberto · Alessio Corti andMiles Reid:Weighted Grassmannians · Tommaso de Fernex and Lawrence Ein: Resolution of indeterminacy of pairs · Vladimir Guletskii and Claudio Pedrini: The Chow motive of the Godeaux surface · Yujiro Kawamata: Francia's flip and derived categories · Kazuhiro Konno: On the quadric hull of a canonical surface · Adrian Langer: A note on Bogomolov's instability and Higgs sheaves · Antonio Lanteri and Raquel Mallavibarrena: Jets of antimulticanonical bundles on Del Pezzo surfaces of degree 2 · Margarida Mendes Lopes and Rita Pardini: A survey on the bicanonical map of surfaces with pg = 0 and K2 2 · Francesco Russo: The antibirational involutions of the plane and the classification of real del Pezzo surfaces · Vyacheslav.V. Shokurov: Letters of a birationalist IV. Geometry of log flips · Andrew J. Sommese, Jean Verschelde and Charles Wampler: A method for tracking singular paths with application to the numerical irreducible decomposition