Curves of genus two over fields of even characteristic

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Curves of genus two over fields of even characteristic

In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification divisor and we give necessary and sufficient conditions for two models of the same type to be k-isomorphic. As a consequence, we obtain an explicit formula for the number of k-isomorphism classes of curves of genus t...

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2005

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-004-0750-0