Algebraic Geometry: A Volume in Memory of Paolo Francia ( De Gruyter Proceedings in Mathematics )

The papers in this volume cover a wide spectrum of 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 of a conference in memory of Paolo Francia held in Genova in September 2001 with approximately 70 participants. Preface......Page 6 Table of Contents......Page 9 Formal functions, connectivity and homogeneous spaces*......Page 11 On algebraic 1-motives related to Hodge cycles Luca Barbieri-Viale......Page 35 The Szpiro inequality for higher genus fibrations Arnaud Beauville......Page 71 On regular surfaces of general type with pg = 2 and non-birational bicanonical map......Page 75 Canonical projections of irregular algebraic surfaces......Page 89 On surfaces with pg = 2, q = 1 and non-birational bicanonical map *......Page 127 On unirationality of double covers of fixed degree and large dimension; a method of Ciliberto......Page 137 Weighted Grassmannians Alessio Corti and Miles Reid......Page 151 Resolution of indeterminacy of pairs Tommaso de Fernex and Lawrence Ein*......Page 175 The Chow motive of the Godeaux surface Vladimir Guletskir and Claudio Pedrini *......Page 189 Francia's flip and derived categories Yujiro Kawamata......Page 207 On the quadric hull of a canonical surface Kazuhiro Konno......Page 227 A note on Bogomolov's instability and Higgs sheaves......Page 247 Jets of antimulticanonical bundles on Del Pezzo surfaces of degree !:: 2......Page 267 A survey on the bicanonical map of surfaces with Pg = 0 and K......Page 287 The antibirational involutions of the plane and the classification of real del Pezzo surfaces......Page 299 Letters of a hi-rationalist IV. Geometry of log flips......Page 323 A method for tracking singular paths with application to the numerical irreducible decomposition Andrew J. Sommese, Jan Verschel......Page 339 Lectures of the Conference......Page 357 List of Contributors......Page 359 List of Participants......Page 363 Eighteen papers, many drawing from presentations at the September 2001 conference in Genova, cover a wide range of algebraic geometry. Particular attention is paid to higher dimensional varieties, the Minimal Model Program, and surfaces of the general type. A list of Francia's publications is included. Contributors include mathematicians from Europe, the United States, Japan, and Brazil. There is no index. Annotation c. Book News, Inc., Portland, OR 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. Fix an algebraically closed ground field k and let X be an irreducible projective variety over k.