[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2021.037

JACOBIAN VARIETIES OF HYPERELLIPTIC CURVES OVER FINITE FIELDS WITH THE FORMAL STRUCTURE OF THE MIXED TYPE

Sohn, Gyoyong (Department of Mathematics Educaiton, Daegu National University of Education)

Publication Information

East Asian mathematical journal / v.37, no.5, 2021 , pp. 585-590 More about this Journal

Abstract

This paper consider the Jacobian variety of a hyperelliptic curve over a finite field with the formal structure of the mixed type. We present the Newton polygon of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety. It gives an useful tool for finding the local decomposition of the Jacobian variety into isotypic components.

Keywords

Jacobian variety; Hyperelliptic Curve;

Citations & Related Records

Reference

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