Real Enriques Surfaces by Alexander Degtyarev

Real Enriques Surfaces

byAlexander Degtyarev, Ilia Itenberg, Viatcheslav Kharlamov

Paperback | October 26, 2000

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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.
Title:Real Enriques SurfacesFormat:PaperbackProduct dimensions:284 pages, 9.25 X 6.1 X 0 inShipping dimensions:284 pages, 9.25 X 6.1 X 0 inPublished:October 26, 2000Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540410880

ISBN - 13:9783540410881

Appropriate for ages: All ages

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Table of Contents

Part I. Tools.- Topology of involutions.- Integral lattices and quadratic forms.- Algebraic surfaces.- Real surfaces: the topological aspects. Part II. Enriques surfaces.- Deformation classes.- Topology of real Enriques surfaces.- Moduli of real Enriques surfaces.- Deformation types: the hyperbolic and parabolic cases.- Deformation types: the elliptic and parabolic cases.- Appendix A: Beginner''s manual on the moduli of real curves and surfaces.- Appendix B: Horikawa models.- Appendix C: Determination of real Enriques surfaces.- Appendix D: A few by-products.