East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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JACOBIAN VARIETIES OF HYPERELLIPTIC CURVES WITH MIXED SYMMETRIC FORMAL TYPE

  • Sohn, Gyoyong (Department of Mathematics Education, Daegu National University of Education)
  • Received : 2022.04.29
  • Accepted : 2022.09.15
  • Published : 2022.09.30
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Abstract

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.

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References

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