Joint Number Theory Seminars at Beijing

Thursday, April 16, 2009

2009-04-16 刘青 Index of algebraic varieties

主题:Index of algebraic varieties
摘要: A classical problem in number theory is to decide whether a given
system of
polynomial equations with rational coefficients has solution with
rational numbers.
In arithmetic geometry,this problem is equivalent to decide whether a
given algebraic
variety defined over the field of rational numbers has a rational point.
In this talk
we will explain the notion of index of algebraic varieties which
controls partially
the existence of rational points. Some general results will be mentioned
without proof.


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