Liaison, Schottky Problem and Invariant Theory : Remembering Federico Gaeta / edited by María Emilia Alonso, Enrique Arrondo, Raquel Mallavibarrena, Ignacio Sols.

Springer eBooks

Federico Gaeta -- Federico Gaeta, Among the Last Classics -- Federico Gaeta and His Italian Heritage -- Articles Published by Federico Gaeta -- Linkage Theory -- Gaeta’s Work on Liaison Theory: An Appreciation -- Symmetric Ladders and G-biliaison -- Liaison Invariants and the Hilbert Scheme of Codimension 2 Subschemes in ? n + 2 -- Minimal Links and a Result of Gaeta -- On the Existence of Maximal Rank Curves with Prescribed Hartshorne-Rao Module -- Doubling Rational Normal Curves -- The Schottky Problem -- Survey on the Schottky Problem -- Abelian Solutions of the Soliton Equations and Geometry of Abelian Varieties -- A Special Case of the ?00 Conjecture -- Computation in Algebraic Geometry -- Federico Gaeta: His Last Ten Years of Mathematical Activity -- Covariants Vanishing on Totally Decomposable Forms -- Symmetric Functions and Secant Spaces of Rational Normal Curves.

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 On this last topic a hitherto unpublished article by Federico Gaeta is also included.

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