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学术科研

Algebra & Combinatorics Seminar

The Hasse principle for multinorms

演讲者：Lee Ting-Yu（多特蒙德工业大学）
时间：2018-09-12 16:30-17:30
地点：慧园3栋 415报告厅

Abstract:

A classical result of Hasse states that the norm principle holds for finite cyclic extensions of global fields, in other words, local norms are global norms. We investigate the norm principle for finite dimensional commutative etale algebras over global fields; since such an algebra is a product of separable extensions, this is often called the multinorm principle. Under the assumption that the etale algebra contains a cyclic factor, we give an explicit description of the Brauer-Manin obstruction to the Hasse principle. This is a joint work with E. Bayer and R. Parimala.