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#### Heights in Diophantine Geometry

Cambridge University Press 2007; US$ 72.00This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. more...

#### Logarithmic Forms and Diophantine Geometry

Cambridge University Press 2008; US$ 94.00An account of effective methods in transcendental number theory and Diophantine geometry by eminent authors. more...

#### Lectures on Arakelov Geometry

Cambridge University Press 1994; US$ 52.00An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. more...

#### The Gross-Zagier Formula on Shimura Curves

Princeton University Press 2012; US$ 92.50 US$ 84.17This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation... more...

#### Galois Representations in Arithmetic Algebraic Geometry

Cambridge University Press 1998; US$ 83.00Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'. more...

#### Arithmetic Compactifications of PEL-Type Shimura Varieties

Princeton University Press 2013; US$ 180.00 US$ 163.80By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to graduate students who have an understanding of schemes and abelian... more...

#### The Large Sieve and its Applications

Cambridge University Press 2008; US$ 103.00Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. more...

#### Applied Algebraic Dynamics

De Gruyter 2009; US$ 210.00The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential... more...

#### On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)

Princeton University Press 2010; US$ 60.00 US$ 54.60This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of... more...

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