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Real Enriques Surfaces

Download or Read eBook Real Enriques Surfaces PDF written by Alexander Degtyarev and published by Springer. This book was released on 2007-05-06 with total page 275 pages. Available in PDF, EPUB and Kindle.
Real Enriques Surfaces
Author :
Publisher : Springer
Total Pages : 275
Release :
ISBN-10 : 9783540399483
ISBN-13 : 3540399488
Rating : 4/5 (83 Downloads)

Book Synopsis Real Enriques Surfaces by : Alexander Degtyarev

Book excerpt: 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.


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