The Adjunction Theory of Complex Projective Varieties

✍ Scribed by Beltrametti, Mauro C.; Sommese, Andrew J

• Publisher: De Gruyter
• Year: 2011
• Tongue: English
• Leaves: 212
• Series: De Gruyter Expositions in Mathematics 16
• Category: Library

✦ Synopsis

The aim of theExpositionsis to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Cear�, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin,Identical Relations in Lie Algebras(2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud',Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira,Variational Problems for Hypersurfaces in Riemannian Manifolds(2019)
Volker Mayer, Mariusz Urbański, and Anna Zdunik,Random and Conformal Dynamical Systems(2021)
Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski,Knot Theory of Lens Spaces(2021)

✦ Table of Contents

Frontmatter --
Chapter 1. General background results --
Chapter 2. Consequences of positivity --
Chapter 3. The basic varieties of adjunction theory --
Chapter 4. The Hilbert scheme and extremal rays --
Chapter 5. Restrictions imposed by ample divisors --
Chapter 6. Families of unbreakable rational curves --
Chapter 7. General adjunction theory --
Chapter 8. Background for classical adjunction theory --
Chapter 9. The adjunction mapping --
Chapter 10. Classical adjunction theory of surfaces --
Chapter 11. Classical adjunction theory in dimension {u2265} 3 --
Chapter 12. The second reduction in dimension three --
Chapter 13. Varieties ({u2133}, {u2112}) with k(MO + (dim {u2133} --
2){u2112}){u2265}0 --
Chapter 14. Special varieties --
Bibliography --
Index