Birational Geometry and Manin's Conjecture, 9781009611633
Hardcover
Geometric view of Manin’s Conjecture: higher dimensions, rational curves, and arithmetic.
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Birational Geometry and Manin's Conjecture

$512.47

  • Hardcover

    275 pages

  • Release Date

    31 July 2026

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Summary

This book provides the first comprehensive study of the geometric aspects of Manin’s conjecture. It equips the reader with a working knowledge of higher dimensional algebraic geometry, including the minimal model program and its applications to arithmetic and Diophantine geometry. The text also develops the foundations of the moduli theory of rational curves on Fano varieties and explores its role in the geometric formulation of Manin’s conjecture, supported by worked examples. The book is su…

Book Details

ISBN-13:9781009611633
ISBN-10:1009611631
Author:Sho Tanimoto
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Hardcover
Number of Pages:275
Release Date:31 July 2026
Series:Cambridge Tracts in Mathematics
About The Author

Sho Tanimoto

Sho Tanimoto is a professor at the Graduate School of Mathematics, Nagoya University in Japan. He received his PhD from Courant Institute of Mathematical Sciences, New York University. His research focuses on algebraic and arithmetic geometry, particularly on arithmetic problems approached through geometric methods such as the minimal model program and moduli spaces.

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