## Abstract In this paper a system of coordinates for the effective divisors on the Jacobian Variety of a Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment to obtain an explicit structure of algebraic variety on the Jaco
On the JACOBIan Varieties of PICARD Curves Defined over Fields of Characteristic p < 0
โ Scribed by J. Estrada-Sarlabous
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 554 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we confine ourselves to the study of the JAcoBran variety J(C) of a PICARD curve C defined over a field K of characteristic p > 0, with the aim to obtain explicit conditions under which the JACOBIan variety is ordinary or supersingular, in terms of the HASSE-WITT matrix of the PICARD curve.
๐ SIMILAR VOLUMES
In this paper we prove that the polynomial identities of the matrix algebra of order 2 over an infinite field of characteristic p / 2 admit a finite basis. We exhibit a finite basis consisting of four identities, and in ''almost'' all cases for p we describe a minimal basis consisting of two identit
The number of points on the curve aY e =bX e +c (abc{0) defined over a finite field F q , q#1 (mod e), is known to be obtainable in terms of Jacobi sums and cyclotomic numbers of order e with respect to this field. In this paper, we obtain explicitly the Jacobi sums and cyclotomic numbers of order e