• Title/Summary/Keyword: Hyperellitpic curves over finite fields

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JACOBIAN VARIETIES OF HYPERELLIPTIC CURVES WITH MIXED SYMMETRIC FORMAL TYPE

  • Sohn, Gyoyong
    • East Asian mathematical journal
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    • v.38 no.5
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    • pp.611-616
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    • 2022
  • This paper considers the Jacobian variety of a hyperelliptic curve over a finite field with mixed symmetric formal type. We present the Newton polygon of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety. It gives a useful tool for finding the local decomposition of the Jacobian variety into isotypic components.