Lecture Notes in Mathematics

K3 Projective Models in Scrolls

Authors: Knutsen, Andreas L., Johnsen, Trygve

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About this book

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.

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From the reviews:

"The aim of this book is to give a description of projective models of K3 surfaces. It is clearly written and presents a complete exposition on the subject. The proofs use a variety of important techniques in projective geometry. … A graduate student interested in projective algebraic geometry could find this book quite useful and inspiring." (Sandra Di Rocco, Mathematical Reviews, Issue 2005 g)


Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-540-40898-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-3-540-21505-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
K3 Projective Models in Scrolls
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1842
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-40898-7
DOI
10.1007/b97183
Softcover ISBN
978-3-540-21505-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 172
Topics