The Adjunction Theory of Complex Projective Varieties

Mauro C. Beltrametti; Andrew J. Sommese

Published by De Gruyter 1995

The Adjunction Theory of Complex Projective Varieties

Mauro C. Beltrametti and Andrew J. Sommese

Volume 16 in the series De Gruyter Expositions in Mathematics

https://doi.org/10.1515/9783110871746

Overview
Contents

Reviews

"In fact, the book under review provides a systematic, comprehensive and utmost detailed account on classical and modern adjunction theory of complex projective varieties. The authors present a monograph, which incorporates all characteristic features of a self-contained textbook, of a research report that leads to the very recent achievements in the field, and of an encyclopedia which encompasses both history and present-day state of the matter. The authors have worked in the results from nearly 700 research papers (which appeared between 1897 and 1994), including more than 50 articles published by themselves (sometimes with co-authors), and they have managed to keep the text essentially self-contained and consistent. […] This is, mathematically and methodically, a great example of maximum efficiency in the literature on algebraic geometry. […] The material of the book is presented in encyclopedic thoroughness, indisputable rigour, and exemplary completeness. Quite undoubtedly, it will immediately become the standard text and reference book on adjunction theory in projective algebraic geometry." Zentralblatt für Mathematik

Topics

Frontmatter Publicly Available Download PDF	I
Chapter 1. General background results Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Consequences of positivity Requires Authentication Unlicensed Licensed Download PDF	42
Chapter 3. The basic varieties of adjunction theory Requires Authentication Unlicensed Licensed Download PDF	70
Chapter 4. The Hilbert scheme and extremal rays Requires Authentication Unlicensed Licensed Download PDF	83
Chapter 5. Restrictions imposed by ample divisors Requires Authentication Unlicensed Licensed Download PDF	103
Chapter 6. Families of unbreakable rational curves Requires Authentication Unlicensed Licensed Download PDF	120
Chapter 7. General adjunction theory Requires Authentication Unlicensed Licensed Download PDF	154
Chapter 8. Background for classical adjunction theory Requires Authentication Unlicensed Licensed Download PDF	213
Chapter 9. The adjunction mapping Requires Authentication Unlicensed Licensed Download PDF	246
Chapter 10. Classical adjunction theory of surfaces Requires Authentication Unlicensed Licensed Download PDF	253
Chapter 11. Classical adjunction theory in dimension ≥ 3 Requires Authentication Unlicensed Licensed Download PDF	280
Chapter 12. The second reduction in dimension three Requires Authentication Unlicensed Licensed Download PDF	302
Chapter 13. Varieties (ℳ, ℒ) with k(ΚΜ + (dim ℳ - 2)ℒ)≥0 Requires Authentication Unlicensed Licensed Download PDF	316
Chapter 14. Special varieties Requires Authentication Unlicensed Licensed Download PDF	328
Bibliography Requires Authentication Unlicensed Licensed Download PDF	355
Index Requires Authentication Unlicensed Licensed Download PDF	395

Language: English
Publisher: De Gruyter
Pages
- Front matter: 20
- Main content: 398

eBook

Published: June 3, 2011
ISBN: 9783110871746

Hardcover

Published: January 18, 1995
ISBN: 9783110143553