Liaison, Schottky Problem and Invariant Theory Remembering Federico
Federico Gaeta (1923–2007) was a Spanish algebraic geometer who was a student of Severi. He is considered to be one of the founders of linkage theory, on which he published several key papers. After many years abroad he came back to Spain in the 1980s. He
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Series Editors H. Bass J. Oesterlé A. Weinstein
Liaison, Schottky Problem and Invariant Theory Remembering Federico Gaeta María Emilia Alonso Enrique Arrondo Raquel Mallavibarrena Ignacio Sols Editors
Birkhäuser
Editors: María Emilia Alonso Enrique Arrondo Raquel Mallavibarrena Ignacio Sols Departamento de Álgebra Facultad de Ciencias Matemáticas, UCM Plaza de las Ciencias, 3 28040 Madrid Spain e-mail: [email protected] [email protected] [email protected] [email protected]
2010 Mathematics Subject Classification: 14M06, 14H42, 14Q15, 01A70 Library of Congress Control Number: 2010921342 Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de
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Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
vii
Part I: Federico Gaeta I. Sols Federico Gaeta, Among the Last Classics . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
C. Ciliberto Federico Gaeta and His Italian Heritage . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
Articles Published by Federico Gaeta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
35
Part II: Linkage Theory R.M. Mir´ o-Roig Gaeta’s Work on Liaison Theory: An Appreciation . . . . . . . . . . . . . . . . . . .
41
E. Gorla Symmetric Ladders and G-biliaison . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49
J.O. Kleppe Liaison Invariants and the Hilbert Scheme of Codimension 2 Subschemes in Pn+2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
63
J. Migliore and U. Nagel Minimal Links and a Result of Gaeta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 S. Greco and R.M. Mir´ o-Roig On the Existence of Maximal Rank Curves with Prescribed Hartshorne-Rao Module . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
133
R. Notari, I. Ojeda and M.L. Spreafico Doubling Rational Normal Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149
vi
Contents
Part III: The Schottky Problem E. G´ omez and J.M. Mu˜ noz Survey on the Schottky Problem . . . . . . . . . . . . . .
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