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- catalog abstract "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.".
- catalog contributor b11924345.
- catalog contributor b11924346.
- catalog contributor b11924347.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Part I. Tools -- Topology of involutions -- Integral lattices and quadratic forms -- Algebraic surfaces -- Real surfaces: the topological aspects. Part II. Enriques surfaces -- Deformation classes -- Topology of real Enriques surfaces -- Moduli of real Enriques surfaces -- Deformation types: the hyperbolic and parabolic cases -- Deformation types: the elliptic and parabolic cases -- Appendix A: Beginner's manual on the moduli of real curves and surfaces -- Appendix B: Horikawa models -- Appendix C: Determination of real Enriques surfaces -- Appendix D: A few by-products.".
- catalog 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 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.".
- catalog extent "xvi, 259 p. :".
- catalog identifier "3540410880 (softcover)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1746.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1746".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 516.3/52 21".
- catalog subject "Algebraic topology.".
- catalog subject "Enriques surfaces.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1746 QA573".
- catalog tableOfContents "Part I. Tools -- Topology of involutions -- Integral lattices and quadratic forms -- Algebraic surfaces -- Real surfaces: the topological aspects. Part II. Enriques surfaces -- Deformation classes -- Topology of real Enriques surfaces -- Moduli of real Enriques surfaces -- Deformation types: the hyperbolic and parabolic cases -- Deformation types: the elliptic and parabolic cases -- Appendix A: Beginner's manual on the moduli of real curves and surfaces -- Appendix B: Horikawa models -- Appendix C: Determination of real Enriques surfaces -- Appendix D: A few by-products.".
- catalog title "Real enriques surfaces / A. Degtyarev, I. Itenberg, V. Kharlamov.".
- catalog type "text".