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Real enriques surfaces / A. Degtyarev, I. Itenberg, V. Kharlamov.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1746.Publication details: Berlin ; New York : Springer, ©2000.Description: 1 online resource (xvi, 259 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540399483
  • 3540399488
Subject(s): Additional physical formats: Print version:: Real enriques surfaces.DDC classification:
  • 510 s 516.3/52 21
LOC classification:
  • QA3 .L28 no. 1746
Online resources:
Contents:
Tools -- Topology of involutions -- Integral lattices and quadratic forms -- Algebraic surfaces -- Real surfaces: the topological aspects -- 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.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 242-251) and index.

Tools -- Topology of involutions -- Integral lattices and quadratic forms -- Algebraic surfaces -- Real surfaces: the topological aspects -- 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.

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.

Print version record.

English.

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