Surveys in geometry and number theory : reports on contemporary Russian mathematics / edited by Nicholas Young.

Format:

Book

Contributor:

Young, Nicholas, editor.

Series:

London Mathematical Society lecture note series ; 338.

London Mathematical Society lecture note series ; 338

Language:

English

Subjects (All):

Geometry of numbers.

Geometry, Algebraic.

Physical Description:

1 online resource (vii, 318 pages) : digital, PDF file(s).

Other Title:

Surveys in Geometry & Number Theory

Place of Publication:

Cambridge : Cambridge University Press, 2007.

Language Note:

English

Summary:

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.

Contents:

Affine embeddings of homogeneous spaces / I.V. Arzhantsev

Formal groups over local fields: a constructive approach / M.V. Bondarko

Classification problems and mirror duality / V.V. Golyshev

Birational models of del Pezzo fibrations / M.M. Grinenko

Best Diophantine approximations / N.G. Moshchevitin

Projectively dual varieties of homogeneous spaces / E.A. Tevelev

Equivariant embeddings of homogeneous spaces / D.A. Timashev

Geometric quantization and algebraic Lagrangian geometry / N.A. Tyurin.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-139-88263-5

1-107-36781-6

1-107-37235-6

1-107-36290-3

1-107-36842-1

1-299-40541-X

1-107-36535-X

0-511-72147-1