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366(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/08/06(木)16:32 ID:Jwpd0UuY(1/4) AAS
Conductor 導手

（参考）
外部ﾘﾝｸ:en.wikipedia.org
Conductor of an abelian variety
(抜粋)
In mathematics, in Diophantine geometry, the conductor of an abelian variety defined over a local or global field F is a measure of how "bad" the bad reduction at some prime is. It is connected to the ramification in the field generated by the torsion points.

Definition
For an abelian variety A defined over a field F as above, with ring of integers R, consider the Neron model of A, which is a 'best possible' model of A defined over R. This model may be represented as a scheme over

Spec(R)
(cf. spectrum of a ring) for which the generic fibre constructed by means of the morphism
省2

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369: 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/08/06(木)17:13 ID:Jwpd0UuY(4/4) AAS
>>366

”bad reduction”

外部ﾘﾝｸ:en.wikipedia.org
Glossary of arithmetic and diophantine geometry
(抜粋)
B
Bad reduction
See good reduction.

G
Good reduction
省9

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