2 citations · 3 across the 3 of their papers we have counts for
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A Fano compactification of the free group character variety
Joseph Cummings, Christopher Manon
We show that a certain compactification of the free group character variety is Fano. This…
Generic tropical initial ideals of Cohen-Macaulay algebras
Kiumars Kaveh, Christopher Manon, Takuya Murata
We study the generic tropical initial ideals of a positively graded Cohen-Macaulay algebra over an algebraically closed field . Building on work of Römer and Schmit…
Well-Poised Hypersurfaces
Joseph Cecil, Neelav Dutta, Christopher Manon +2
An ideal is said to be "well-poised" if all of the initial ideals obtained from points in the tropical variety are prime. This condition was first defined by Nathan I…
Tropical geometry and Newton-Okounkov cones for Grassmannian of planes from compactifications
Christopher Manon, Jihyeon Jessie Yang
We construct a family of compactifications of the affine cone of the Grassmannian variety of 2-planes. We show that both the tropical variety of the Plücker ideal and familiar valu…
Bounds on generators and relations for the algebra of $SL_2(\C)$ conformal blocks
Christopher Manon
We show that the Cox ring of the moduli of $SL_2(\C)$ quasi-parabolic principal bundles on a marked curve is generated by conformal blocks of level 1 and 2. We show that the ideal…