(2009) Manon, Christopher Allen; Millson, John J; Mathematics; Digital Repository at the University of Maryland; University of Maryland (College Park, Md.)
We study presentations for subalgebras of
invariants of the coordinate algebras of
binary symmetric models of phylogenetic
trees studied by Buczynska and Wisniewski. These
algebras arise as toric degenerations of
projective coordinate rings of weight varieties
of the Grassmannian of two planes associated to the
Pl\"ucker embedding,
and as toric degenerations of rings of invariants of
Cox-Nagata rings.
