Skip to main content
SpringerLink
Log in
Birkhäuser

Liaison, Schottky Problem and Invariant Theory

Remembering Federico Gaeta

  • Book
  • © 2010

Overview

Editors:
  1. María Emilia Alonso

    1. Departamento de Álgebra Facultad de Ciencias Matemáticas, UCM, Madrid, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Enrique Arrondo

    1. Departamento de Álgebra Facultad de Ciencias Matemáticas, UCM, Madrid, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Raquel Mallavibarrena

    1. Departamento de Álgebra Facultad de Ciencias Matemáticas, UCM, Madrid, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Ignacio Sols

    1. Departamento de Álgebra Facultad de Ciencias Matemáticas, UCM, Madrid, Spain

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Linkage theory is revisited with a survey and several original research papers
  • There is a survey and two original research papers on Schottky problem
  • An unpublished article of Federico Gaeta is included in the book
  • A historical presentation of the interaction of Gaeta with the classical Italian school of algebraic geometry is also included in the book
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 280)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (15 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Federico Gaeta

    1. Front Matter

      Pages 1-2
      Download chapter PDF

    2. Federico Gaeta, Among the Last Classics

      • Ignacio Sols
      Pages 3-6

    3. Federico Gaeta and His Italian Heritage

      • Ciro Ciliberto
      Pages 9-33

    4. Articles Published by Federico Gaeta

      Pages 35-38

  3. Linkage Theory

    1. Front Matter

      Pages 39-40
      Download chapter PDF

    2. Gaeta’s Work on Liaison Theory: An Appreciation

      • Rosa M. Miró-Roig
      Pages 41-48

    3. Symmetric Ladders and G-biliaison

      • Elisa Gorla
      Pages 49-62

    4. Liaison Invariants and the Hilbert Scheme of Codimension 2 Subschemes in ℙn + 2

      • Jan O. Kleppe
      Pages 63-101

    5. Minimal Links and a Result of Gaeta

      • Juan Migliore, Uwe Nagel
      Pages 103-132

    6. On the Existence of Maximal Rank Curves with Prescribed Hartshorne-Rao Module

      • Silvio Greco, Rosa Maria Miró-Roig
      Pages 133-147

    7. Doubling Rational Normal Curves

      • Roberto Notari, Ignacio Ojeda, Maria Luisa Spreafico
      Pages 149-187

  4. The Schottky Problem

    1. Front Matter

      Pages 189-190
      Download chapter PDF

    2. Survey on the Schottky Problem

      • Esteban Gómez González, José M. Muñoz Porras
      Pages 191-196

    3. Abelian Solutions of the Soliton Equations and Geometry of Abelian Varieties

      • I. Krichever, T. Shiota
      Pages 197-222

    4. A Special Case of the Γ00 Conjecture

      • Samuel Grushevsky
      Pages 223-231

  5. Computation in Algebraic Geometry

    1. Front Matter

      Pages 233-234
      Download chapter PDF

    2. Federico Gaeta: His Last Ten Years of Mathematical Activity

      • María Emilia Alonso García
      Pages 235-236

    3. Covariants Vanishing on Totally Decomposable Forms

      • Emmanuel Briand
      Pages 237-256

    4. Symmetric Functions and Secant Spaces of Rational Normal Curves

      • Federico Gaeta
      Pages 257-292
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Departamento de Álgebra Facultad de Ciencias Matemáticas, UCM, Madrid, Spain

    María Emilia Alonso, Enrique Arrondo, Raquel Mallavibarrena, Ignacio Sols

Bibliographic Information

  • Book Title: Liaison, Schottky Problem and Invariant Theory

  • Book Subtitle: Remembering Federico Gaeta

  • Editors: María Emilia Alonso, Enrique Arrondo, Raquel Mallavibarrena, Ignacio Sols

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0346-0201-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-0346-0200-6Published: 12 March 2010

  • eBook ISBN: 978-3-0346-0201-3Published: 30 January 2011

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: 300

  • Topics: Algebraic Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation