K3 projective models in scrolls /
Johnsen, Trygve.
K3 projective models in scrolls / Trygve Johnsen, Andreas Leopold Knutsen. - Berlin ; New York : Springer-Verlag, ©2004. - 1 online resource (viii, 164 pages) : illustrations. - Lecture notes in mathematics, 1842 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1842. .
Includes bibliographical references (pages 159-162) and index.
Introduction -- Surfaces in scrolls -- The Clifford index of smooth curves in.
The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time.
9783540408987 3540408983 3540215050 9783540215059
9783540215059
04,N20,0654 dnb
970929226 DE-101
Projective modules (Algebra)
Surfaces, Algebraic.
Modules projectifs (Algèbre)
Surfaces algébriques.
Superficies algebraicas
Módulos proyectivos
Projective modules (Algebra)
Surfaces, Algebraic
K 3- Fläche
Algebraische Geometrie
Algebraïsche meetkunde.
Geometria diferencial projetiva.
Module projectif (Algèbre)
Surface algébrique.
Variété kählérienne.
proceedings (reports)
Conference papers and proceedings.
Actes de congrès.
QA247.3 / .J64 2004
510 s 512/.42
K3 projective models in scrolls / Trygve Johnsen, Andreas Leopold Knutsen. - Berlin ; New York : Springer-Verlag, ©2004. - 1 online resource (viii, 164 pages) : illustrations. - Lecture notes in mathematics, 1842 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1842. .
Includes bibliographical references (pages 159-162) and index.
Introduction -- Surfaces in scrolls -- The Clifford index of smooth curves in.
The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time.
9783540408987 3540408983 3540215050 9783540215059
9783540215059
04,N20,0654 dnb
970929226 DE-101
Projective modules (Algebra)
Surfaces, Algebraic.
Modules projectifs (Algèbre)
Surfaces algébriques.
Superficies algebraicas
Módulos proyectivos
Projective modules (Algebra)
Surfaces, Algebraic
K 3- Fläche
Algebraische Geometrie
Algebraïsche meetkunde.
Geometria diferencial projetiva.
Module projectif (Algèbre)
Surface algébrique.
Variété kählérienne.
proceedings (reports)
Conference papers and proceedings.
Actes de congrès.
QA247.3 / .J64 2004
510 s 512/.42