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Algebraic Geometry: A Volume in Memory of Paolo Francia

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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.

Author(s): Paolo Francia, Fabrizio Catanese, C. Ciliberto, A. Lanteri, C. Pedrini, Mauro Beltrametti
Series: De Gruyter Proceedings in Mathematics
Publisher: SLR
Year: 2002

Language: English
Commentary: 38937
Pages: 366

Preface......Page 5
Table of Contents......Page 7
Formal functions, connectivityand homogeneous spaces∗......Page 9
On algebraic 1-motives related to Hodge cycles......Page 33
The Szpiro inequality for higher genus fibrations......Page 69
On regular surfaces of general type with pg = 2and non-birational bicanonical map......Page 73
Canonical projections of irregularalgebraic surfaces......Page 87
On surfaces with pg = 2, q = 1 and non-birationalbicanonical map......Page 125
On unirationality of double covers of fixed degreeand large dimension; a method of Ciliberto......Page 135
Weighted Grassmannians......Page 149
Resolution of indeterminacy of pairs......Page 173
The Chow motive of the Godeaux surface......Page 187
Francia’s flip and derived categories......Page 205
On the quadric hull of a canonical surface......Page 225
A note on Bogomolov’s instabilityand Higgs sheaves......Page 245
Jets of antimulticanonical bundles on Del Pezzosurfaces of degree ≤ 2......Page 265
A survey on the bicanonical map of surfaces withpg = 0 and K2 ≥ 2......Page 285
The antibirational involutions of the plane and theclassification of real del Pezzo surfaces......Page 297
Letters of a bi-rationalistIV. Geometry of log flips......Page 321
A method for tracking singular paths withapplication to the numerical irreducibledecomposition......Page 337
Lectures of the Conference......Page 355
List of Contributors......Page 357
List of Participants......Page 361