Real enriques surfaces /

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...

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Bibliographic Details
Main Author: Degtyarev, A. (Alexander), 1962-
Corporate Author: SpringerLink (Online service)
Other Authors: Itenberg, I. V. (Ilʹi͡a Vladimirovich), Kharlamov, V. (Viatcheslav), 1950-
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [2000]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1746.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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 hyperkhler 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.
Item Description:Electronic resource.
Physical Description:1 online resource (xvi, 259 pages) : illustrations.
Bibliography:Includes bibliographical references (pages [242]-251) and index.
ISBN:9783540399483 (electronic bk.)
3540399488 (electronic bk.)
ISSN:0075-8434 ;