Diophantine geometry

在数学中，算术几何（arithmetic geometry）大致是从代数几何到数论问题的技术的应用。算术几何围绕着丟番圖几何（英语：Diophantine geometry），这是代数簇有理点（英语：Rational point）的研究。 用更抽象的术语来说，算术几何可以定义为对整数环的譜内的有限概形(scheme)方案的研究。

Introduction to Algebraic Geometry (1958) Abelian Varieties (1959) Diophantine Geometry (1962) Introduction To Differentiable Manifolds

and Walter Gubler. Heights in Diophantine Geometry. Cambridge U. P. 2006.  J. W. S. Cassels. An Introduction to the Geometry of Numbers. Springer Classics

S2CID 121274024. doi:10.1007/BF01393823.  Hindry, Marc; Silverman, Joseph H. Diophantine geometry. Graduate Texts in Mathematics 201. Berlin, New York: Springer-Verlag

Serge. Survey of Diophantine geometry. Springer-Verlag. 1997: 101–122. ISBN 3-540-61223-8.  Lawrence, Brian; Venkatesh, Akshay. Diophantine problems and p-adic