Algebraic Geometry: A Volume in Memory of Paolo Francia

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Overview

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.

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Table of Contents

Preface
Formal functions, connectivity and homogeneous spaces 1
On algebraic 1-motives related to Hodge cycles 25
The Szpiro inequality for higher genus fibrations 61
On regular surfaces of general type with p[subscript g] = 2 and non-birational bicanonical map 65
Canonical projections of irregular algebraic surfaces 79
On surfaces with p[subscript g] = 2, q = 1 and non-birational bicanonical map 117
On unirationality of double covers of fixed degree and large dimension: a method of Ciliberto 127
Weighted Grassmannians 141
Resolution of indeterminacy of pairs 165
The Chow motive of the Godeaux surface 179
Francia's flip and derived categories 197
On the quadric hull of a canonical surface 217
A note on Bogomolov's instability and Higgs sheaves 237
Jets of antimulticanonical bundles on Del Pezzo surfaces of degree [less than or equal to] 2 257
A survey on the bicanonical map of surfaces with p[subscript g] = 0 and K[superscript 2] [greater than or equal to] 2 277
The antibirational involutions of the plane and the classification of real del Pezzo surfaces 289
Letters of a bi-rationalist: IV. Geometry of log flips 313
A method for tracking singular paths with application to the numerical irreducible decomposition 329
Lectures of the Conference 347
List of Contributors 349
List of Participants 353
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