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Lecture Notes in Mathematics

Real Enriques Surfaces

Authors: Degtyarev, Alexander, Itenberg, Ilia, Kharlamov, Viatcheslav

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About this book

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperkähler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.

Table of contents (10 chapters)

  • Topology of involutions

    Degtyarev, Alexander (et al.)

    Pages 1-28

  • Integral lattices and quadratic forms

    Degtyarev, Alexander (et al.)

    Pages 29-52

  • Algebraic surfaces

    Degtyarev, Alexander (et al.)

    Pages 53-78

  • Real surfaces: the topological aspects

    Degtyarev, Alexander (et al.)

    Pages 79-87

  • Summary: Deformation Classes

    Degtyarev, Alexander (et al.)

    Pages 88-96

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-39948-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-41088-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Real Enriques Surfaces
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1746
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-39948-3
DOI
10.1007/BFb0103960
Softcover ISBN
978-3-540-41088-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVIII, 266
Topics