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.
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
10 Tables, unspecified; 4 Line drawings, unspecified
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-0-521-69182-6 (9780521691826)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Nicholas Young is a Professor in the School of Mathematics at the University of Leeds.
Herausgeber*in
University of Newcastle upon Tyne
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.