Presentations of Semigroup Algebras of Weighted Trees

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Date
2009
Authors
Manon, Christopher Allen
Advisor
Millson, John J
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Abstract
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.
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