Hodge cycles on the jacobian variety of the Catalan curve
โ Scribed by FUMIO HAZAMA
- Book ID
- 111522823
- Publisher
- Cambridge University Press
- Year
- 1997
- Tongue
- English
- Weight
- 128 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0010-437X
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๐ SIMILAR VOLUMES
## 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
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 c
Let \(J\) be the Jacobian of the hyperelliptic curve \(Y^{2}=f\left(X^{2}\right)\) over a field \(K\) of characteristic 0 , where \(f\) has odd degree. We shall present an embedding of the group \(J(K) / 2 J(K)\) into the group \(L^{* / L^{* 2}}\) where \(L=K[T] / f(T)\). Since this embedding is der