Progress in Mathematics

Quantitative Arithmetic of Projective Varieties

Authors: Browning, Timothy D.

  • Winner of the Ferran Sunyer i Balaguer Prize 2009
  • Systematically surveys the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties
  • Rapidly guides the reader to the many areas of ongoing research in the domain
  • Includes an extensive bibliography
see more benefits

Buy this book

eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-0346-0129-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-0346-0128-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Reviews

From the reviews:

“The book under review considers the distribution of integral or rational points of bounded height on (projective) algebraic varieties. … well-written and well-organized. … Introductory material is discussed when appropriate, motivation and context are provided when necessary, and there are even small sets of exercises at the end of every chapter, making the book suitable for self or guided study … .” (Felipe Zaldivar, The Mathematical Association of America, January, 2010)

“The most important feature of the book is the way it presents the geometric and analytic aspects of the theory on a unified equal footing. The interface between these two fields has been a very productive subject in recent years, and this book is likely to be of considerable value to anyone, graduate student and up, interested in this area.” (Roger Heath-Brown, Zentralblatt MATH, Vol. 1188, 2010)

“The book … is focused on exposing how tools rooted in analytic number theory can be used to study quantitative problems in Diophantine geometry, by focusing on the Manin conjectures, the dimension growth conjecture, and the Hardy-Littlewood circle method. … book is clear, concise, and well written, and as such is highly recommended to a beginning graduate student looking for direction in pure mathematics or number theory. … includes a number of interesting and accessible exercises at the end of each of the eight chapters.”­­­ (Robert Juricevic, Mathematical Reviews, Issue 2010 i)


Table of contents (8 chapters)

  • Introduction

    Browning, Timothy D.

    Pages 1-15

    Preview Buy Chapter 30,19 €
  • The Manin conjectures

    Browning, Timothy D.

    Pages 17-46

    Preview Buy Chapter 30,19 €
  • The dimension growth conjecture

    Browning, Timothy D.

    Pages 47-62

    Preview Buy Chapter 30,19 €
  • Uniform bounds for curves and surfaces

    Browning, Timothy D.

    Pages 63-82

    Preview Buy Chapter 30,19 €
  • A1 del Pezzo surface of degree 6

    Browning, Timothy D.

    Pages 83-97

    Preview Buy Chapter 30,19 €

Buy this book

eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-0346-0129-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-0346-0128-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Quantitative Arithmetic of Projective Varieties
Authors
Series Title
Progress in Mathematics
Series Volume
277
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-0346-0129-0
DOI
10.1007/978-3-0346-0129-0
Hardcover ISBN
978-3-0346-0128-3
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XIII, 160
Topics