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Real Enriques Surfaces (Paperback, 2000 ed.)
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Real Enriques Surfaces (Paperback, 2000 ed.)
Series: Lecture Notes in Mathematics, 1746
Expected to ship within 10 - 15 working days
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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 hyperk hler 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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