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Average of the first invariant factor of the reductions of abelian varieties of CM type

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Publication:2789374
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DOI10.1142/S1793042116500263zbMath1408.11058MaRDI QIDQ2789374

Sungjin Kim

Publication date: 29 February 2016

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


zbMATH Keywords

reductioncomplex multiplicationAbelian varietyfirst invariant


Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15)


Related Items

Average reciprocals of the order of \(a\) modulo \(n\)



Cites Work

  • A GEOMETRIC VARIANT OF TITCHMARSH DIVISOR PROBLEM
  • Upper bounds for the number of primitive ray class characters with conductor below a given bound
  • Division fields of abelian varieties with complex multiplication
  • Cyclicity of CM elliptic curves modulo 𝑝
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