Liaison, Schottky Problem and Invariant Theory

by Alonso, Maria Emilia; Arrondo, Enrique; Mallavibarrena, Raquel; Sols, Ignacio

• ISBN13: 9783034602006
• ISBN10: 3034602006
• Format: Hardcover
• Copyright: 2010-04-30
• Publisher: Birkhauser

Summary

This volume is a homage to the memory of the Spanish mathematician Federico Gaeta (1923-2007). Apart from a historical presentation of his life and interaction with the classical Italian school of algebraic geometry, the volume presents surveys and original research papers on the mathematics he studied. Specifically, it is divided into three parts: linkage theory, Schottky problem and invariant theory. On this last topic a hitherto unpublished article by Federico Gaeta is also included.

Table of Contents

Preface	p. vii
Federico Gaeta
Federico Gaeta, Among the Last Classics	p. 3
Federico Gaeta and His Italian Heritage	p. 9
Articles Published	p. 35
Linkage Theory
Gaeta's Work on Liaison Theory: An Appreciation	p. 41
Symmetric Ladders and G-biliaison	p. 49
Liaison Invariants and the Hilbert Scheme of Codimension 2 Subschemes in Pn+2	p. 63
Minimal Links and a Result of Gaeta	p. 103
On the Existence of Maximal Rank Curves with Prescribed Hartshorne-Rao Module	p. 133
Doubling Rational Normal Curves	p. 149
The Schottky Problem
Survey on the Schottky Problem	p. 191
Abelian Solutions of the Soliton Equations and Geometry of Abelian Varieties	p. 197
A Special Case of the ¿00 Conjecture	p. 223
Computation in Algebraic Geometry
Federico Gaeta: His Last Ten Years of Mathematical Activity	p. 235
Covariants Vanishing on Totally Decomposable Forms	p. 237
Symmetric Functions and Secant Spaces of Rational Normal Curves	p. 257
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