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Enriques Surfaces I

  • Book
  • © 1989

Overview

Authors:
  1. François R. Cossec

    1. MATRA, Saint-Quentin-en-Yven, France

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  2. Igor V. Dolgachev

    1. Department of Mathematics, University of Michigan, Ann Arbor, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Progress in Mathematics (PM, volume 76)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • François R. Cossec, Igor V. Dolgachev
    Pages 1-8

  3. Preliminaries

    • François R. Cossec, Igor V. Dolgachev
    Pages 9-71

  4. Enriques Surfaces: Generalities

    • François R. Cossec, Igor V. Dolgachev
    Pages 72-102

  5. Lattices and Root Bases

    • François R. Cossec, Igor V. Dolgachev
    Pages 103-165

  6. The Geometry of the Enriques Lattice

    • François R. Cossec, Igor V. Dolgachev
    Pages 166-225

  7. Projective Models

    • François R. Cossec, Igor V. Dolgachev
    Pages 226-284

  8. Genus One Fibration

    • François R. Cossec, Igor V. Dolgachev
    Pages 285-375

  9. Back Matter

    Pages 376-401
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Keywords

About this book

This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 1984-1986. The second author was supported during all these years by grants from the National Science Foundation.

Authors and Affiliations

  • MATRA, Saint-Quentin-en-Yven, France

    François R. Cossec

  • Department of Mathematics, University of Michigan, Ann Arbor, USA

    Igor V. Dolgachev

Bibliographic Information

  • Book Title: Enriques Surfaces I

  • Authors: François R. Cossec, Igor V. Dolgachev

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-3696-2

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1989

  • Softcover ISBN: 978-1-4612-8216-7Published: 21 December 2011

  • eBook ISBN: 978-1-4612-3696-2Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: IX, 401

  • Topics: Algebraic Geometry, Algebra, Several Complex Variables and Analytic Spaces

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