| Real Enriques Surfaces 2000 Edition Contributor(s): Degtyarev, Alexander (Author), Itenberg, Ilia (Author), Kharlamov, Viatcheslav (Author) |
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ISBN: 3540410880 ISBN-13: 9783540410881 Publisher: Springer OUR PRICE: $66.45 Product Type: Paperback Published: October 2000 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Topology - General - Mathematics | Mathematical Analysis |
| Dewey: 516.352 |
| LCCN: 00046331 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.6" H x 6.14" W x 9.21" (0.88 lbs) 266 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |