Classification Theory of Polarized Varieties

Zusammenfassung The heart of this book is the theory of D-genus and sectional genus developed by the author! but numerous related topics are discussed or surveyed. Proofs are given in full in the central part of the development! but background and technical results are sometimes just sketched. Inhaltsverzeichnis Introduction; 1. Delta-genus and the hyperplane section method; 2. Sectional genus and adjoint bundles; 3. Related topics; 4. Varieties of small degrees; 5. Varieties of small codimension; 6. Varieties of small secant varieties; 7. Varieties with many lines; 8. Hyperelliptic polarised varieties; 9. Castelnuovo bounds and Castelnuovo varieties; 10. Ample vector bundles with small invariants; Appendix 1: Background information; Appendix 2: Computer constructed classification of polarised varieties.

Product details

• Authors: T. Fujita, Takao Fujita, Takao (Tokyo Institute of Technology) Fujita
• Assisted by: J. W. S. Cassels (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 23.08.1990
• EAN: 9780521392020
• ISBN: 978-0-521-39202-0
• No. of pages: 220
• Series: New Studies in Archaeology
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry