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Lower bounds for the ranks of CM types

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Publication:757482
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DOI10.1016/0022-314X(89)90025-5zbMath0723.11062MaRDI QIDQ757482

Liem Mai

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

ranksFermat curveCM type


Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Complex multiplication and abelian varieties (14K22) Algebraic number theory: global fields (11R99)


Related Items

On nondegenerate CM-types ⋮ The Hodge Group of an Abelian Variety ⋮ Galois representations attached to abelian varieties of CM type ⋮ On CM-types of Galois CM-fields without proper CM-subfields ⋮ Remark on nondegeneracy of simple abelian varieties with many endomorphisms



Cites Work

  • On the Mumford-Tate group of an abelian variety with complex multiplication
  • Division fields of abelian varieties with complex multiplication
  • Simple Factors in the Jacobian of a Fermat Curve
  • On the Field Extension by Complex Multiplication
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