Surveys in Geometry and Number Theory

Erscheinungsjahr 2007
ISBN: 978-0-521-69182-6
Verlag: Cambridge University Press

Buch, Englisch, Band 338, 326 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 477 g

Reihe: London Mathematical Society Lecture Note Series

The focus of this book is the continuing strength of pure mathematics in Russia after the post-Soviet diaspora. The authors are eight young specialists who are associated with strong research groups in Moscow and St. Petersburg in the fields of algebraic geometry and number theory. Their articles are based on lecture courses given at British universities. The articles are mainly surveys of the recent work of the research groups and contain a substantial number of original results. Topics covered are embeddings and projective duals of homogeneous spaces, formal groups, mirror duality, del Pezzo fibrations, Diophantine approximation and geometric quantization. The authors are I. Arzhantsev, M. Bondarko, V. Golyshev, M. Grinenko, N. Moshchevitin, E. Tevelev, D. Timashev and N. Tyurin. Mathematical researchers and graduate students in algebraic geometry and number theory worldwide will find this book of great interest.

Autoren/Hrsg.

Young, Nicholas

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Preface; 1. Affine embeddings of homogeneous spaces I. V. Arzhantsev; 2. Formal groups over local fields: a constructive approach M. V. Bondarko; 3. Classification problems and mirror duality V. V. Golyshev; 4. Birational models of del Pezzo fibrations M. M. Grinenko; 5. Best Diophantine approximations N. G. Moshchevitin; 6. Projectively dual varieties of homogeneous spaces E. A. Tevelev; 7. Equivariant embeddings of homogeneous spaces D. A. Timashev; 8. Geometric quantization and algebraic Lagrangian geometry N. A. Tyurin.

Über Autor(innen)

Young, Nicholas
Nicholas Young is a Professor in the School of Mathematics at the University of Leeds.