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I'm interested in many things, but algebraic geometry I love.

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Dec
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comment What is the motivation for defining the conductor of an abelian variety?
Kestutis, is the description you gave here the motivation for defining a conductor of an abelian group? What (originally) was the purpose of this notion?
Dec
22
comment What is the motivation for defining the conductor of an abelian variety?
Kestutis, that sounds exactly like the kind of explanation I want. Where can I read more about this? (In particular I am not familiar with "semisimplification" and "Grothendieck's quasi-unipotence thm".) Noam, in that case what makes the definition of an abelian variety over a global field natural?
Dec
22
comment What is the motivation for defining the conductor of an abelian variety?
Ah, I see. Is it some limit of this procedure, or am I completely on the wrong track?