On Supersingular Abelian Varieties of Dimension Two over Finite Fields

Authors:
Chaoping Xing
Affiliations:
University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China
Venue:
Finite Fields and Their Applications
Year:
1996

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Abstract

In this paper we study the characteristic polynomials and the rational point group structure of supersingular varieties of dimension two over finite fields. Meanwhile, we also list allL-functions of supersingular curves of genus two over F"2and determine the group structure of their divisor class groups over all finite algebraic extension of F"2.