Abstract
For every , we show there exists a hyperelliptic curve of genus with -rank and -number in characteristic when or . The method of proof is to show that a generic point of the moduli space of hyperelliptic curves of genus and -rank has -number . When , we also show that this moduli space is irreducible.
Citation
Arsen Elkin. Rachel Pries. "HYPERELLIPTIC CURVES WITH -NUMBER IN SMALL CHARACTERISTIC." Albanian J. Math. 1 (4) 245 - 252, 2007. https://doi.org/10.51286/albjm/1196791027
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