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Arithmetic of Higher-Dimensional Algebraic Varieties

By Yuri Tschinkel

Arithmetic of Higher-Dimensional Algebraic Varieties Mathematics

Arithmetic of Higher-Dimensional Algebraic Varieties

0 - Default Title
Description
One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory.
This text, which focuses on higher dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry.
Product details
Edition:
1
Number of Pages:
308
Release Date:
2003-11-14
Publication Date:
2003-11-14
Publisher:
Birkhäuser Boston
Languages:
Original: English
ISBN10:
081763259X90481344209048134315
ISBN13:
9780817632595
GPSR Manufacturer Reference:
[email protected]
Weight:
629 g
Height:
160 cm
Width:
241 cm
Thickness:
22 cm
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