Liaison, Schottky Problem and Invariant Theory: Remembering Federico Gaeta

ISBN-13: 9783034602006 / Angielski / Twarda / 2010 / 300 str.

Maria Emilia Alonso; Enrique Arrondo; Raquel Mallavibarrena

Opis

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 spent his last period as a professor at Universidad Complutense de Madrid. In gratitude to him, some of his personal and mathematically close persons during this last station, all of whom bene?ted in one way or another by his ins- ration, have joined to edit this volume to keep his memory alive. We o?er in it surveys and original articles on the three main subjects of Gaeta's interest through his mathematical life. The volume opens with a personal semblance by Ignacio Sols and a historical presentation by Ciro Ciliberto of Gaeta's Italian period. Then it is divided into three parts, each of them devoted to a speci?c subject studied by Gaeta and coordinated by one of the editors. For each part, we had the advice of another colleague of Federico linked to that particular subject, who also contributed with a short survey. The ?rst part, coordinated by E. Arrondo with the advice of R.M.

Spis treści

Federico Gaeta, among the last classics (Ignacio Sols).- Federico Gaeta and his Italian heritage (Ciro Ciliberto).- Gaetas’s work on Liaison Theory: an appreciation (Rosa M. Miró-Roig).- Symmetric ladders and G-biliaison (Elisa Gorla).- Linkage invariants and the Hilbert scheme of codimension 2 subscheme in P{n+2} (Jan O. Kleppe).- Minimal links and a result of Gaeta (Juan Migliore and Uwe Nagel).- On the existence of maximal rank curves with prescribed Hartshorne–Rao module (Silvio Greco and Rosa María Miró-Roig).- Doubling rational normal curves (Roberto Notari, Ignacio Ojeda and Maria Luisa Spreafico).- Survey on the Schottky Problem (Esteban Gómez González and José María Muñoz Porras).- Abelian solutions on soliton equations and geometry of abelian varieties (I. Krichever and T. Shiota).- A special case of the \Gamma_ Conjecture (Samuel Grushevsky).- His ten last years (María Emilia Alonso).- Covariants vanishing on totally decomposable forms (Emmanuel Briand).- Symmetric functions and secant spaces of rational normal curves (Federico Gaeta, revised by Laureano González Vega).- Articles published by Federico Gaeta.