Equivariant degenerations of plane curve orbits

Lee, Mitchell; Patel, Anand; Tseng, Dennis

doi:10.1090/tran/8733

Equivariant degenerations of plane curve orbits
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by Mitchell Lee, Anand Patel and Dennis Tseng;

Trans. Amer. Math. Soc. 376 (2023), 6799-6843

DOI: https://doi.org/10.1090/tran/8733

Published electronically: July 17, 2023

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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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