On the ring of invariants of ordinary quartic curves in characteristic 2
نویسندگان
چکیده
The moduli space of the ordinary non-singular quartic curves over fields of characteristic 2 is isomorphic to a certain open subset of an affine variety, whose coordinate ring in turn is given as the invariant algebra of a certain module of the finite group GL3(F2). We derive a complete description of this invariant algebra by combining theoretical analysis with application of specially tailored computational techniques. Mathematics Subject Classification: 13A50, 13P10, 20C20, 14H45
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ar X iv : m at h / 04 05 05 2 v 1 [ m at h . A G ] 4 M ay 2 00 4 On the ring of invariants of ordinary quartic curves in characteristic 2
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