[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2022.30.3.555

RESTRICTION OF SCALARS WITH SIMPLE ENDOMORPHISM ALGEBRA

Yu, Hoseog (Department of Mathematics and Statistics, Sejong University)

Publication Information

Korean Journal of Mathematics / v.30, no.3, 2022 , pp. 555-560 More about this Journal

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 L^G_F on which A has a K-variety descent.

Keywords

restriction of scalars; descent; isogeny;

Citations & Related Records

Reference

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