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

MARC

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100 1 |a Degtyarev, A.  |q (Alexander),  |d 1962- 
245 1 0 |a Real enriques surfaces /  |c A. Degtyarev, I. Itenberg, V. Kharlamov. 
264 1 |a Berlin ;  |a New York :  |b Springer,  |c [2000] 
264 4 |c ©2000 
300 |a 1 online resource (xvi, 259 pages) :  |b illustrations. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1746 
504 |a Includes bibliographical references (pages [242]-251) and index. 
505 0 0 |t Tools --  |t Topology of involutions --  |t Integral lattices and quadratic forms --  |t Algebraic surfaces --  |t Real surfaces: the topological aspects --  |t Enriques surfaces --  |t Deformation classes --  |t Topology of real enriques surfaces --  |t Moduli of real enriques surfaces --  |t Deformation types: the hyperbolic and parabolic cases --  |t Deformation types: the elliptic and parabolic cases. 
520 |a 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. 
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700 1 |a Itenberg, I. V.  |q (Ilʹi͡a Vladimirovich) 
700 1 |a Kharlamov, V.  |q (Viatcheslav),  |d 1950- 
710 2 |a SpringerLink (Online service) 
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830 0 |a Lecture notes in mathematics (Springer-Verlag) ;  |v 1746. 
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