On the ring of invariants of ordinary quartic curves in characteristic 2

摘要

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 GL(3)(F-2). We derive a complete description of this invariant algebra by combining theoretical analysis with application of specially tailored computational techniques. (c) 2005 Elsevier Inc. All rights reserved.