Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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RESTRICTION OF SCALARS WITH SIMPLE ENDOMORPHISM ALGEBRA

  • Yu, Hoseog (Department of Mathematics and Statistics, Sejong University)
  • Received : 2022.02.18
  • Accepted : 2022.09.19
  • Published : 2022.09.30
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Abstract

Suppose L/K be a finite abelian extension of number fields of odd degree and suppose an abelian variety A defined over L is a K-variety. If the endomorphism algebra of A/L is a field F, the followings are equivalent : (1) The enodomorphiam algebra of the restriction of scalars from L to K is simple. (2) There is no proper subfield of L containing LGF on which A has a K-variety descent.

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References

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