K3 projective models in scrolls / Trygve Johnsen, Andreas Leopold Knutsen.

By:

Johnsen, Trygve

Contributor(s):

Knutsen, Andreas Leopold

Material type: Text

TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1842.Publication details: Berlin ; New York : Springer-Verlag, ©2004.Description: 1 online resource (viii, 164 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540408987
3540408983
3540215050
9783540215059

Subject(s): Genre/Form:

Additional physical formats: Print version:: K3 Projective models in scrolls.DDC classification:

510 s 512/.42 22

LOC classification:

QA247.3 .J64 2004

Other classification:

31.51

Online resources:

Click here to access online

Contents:

Introduction -- Surfaces in scrolls -- The Clifford index of smooth curves in.

Summary: 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.

Holdings ( 1 )
Title notes ( 4 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

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Includes bibliographical references (pages 159-162) and index.

Introduction -- Surfaces in scrolls -- The Clifford index of smooth curves in.

Print version record.

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.