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Equivariant Degenerations of Plane Curve Orbits

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arxiv 1903.10069 v2 pith:OSSBYPM3 submitted 2019-03-24 math.AG

classification math.AG
keywords planecurveequivariantorbitsaluffiarbitraryattemptcase
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abstract

In a series of papers, Aluffi and Faber computed the degree of the $GL_3$ orbit closure of an arbitrary plane curve. We attempt to generalize this to the equivariant setting by studying how orbits degenerate under some natural specializations, yielding a fairly complete picture in the case of plane quartics.

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