Christopher Manon

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20082024

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20 citations · 137 across the 31 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.AG2016

Gröbner theory and tropical geometry on spherical varieties

Kiumars Kaveh, Christopher Manon

Let $G$ be a connected reductive algebraic group. We develop a Gröbner theory for multiplicity-free $G$ -algebras, as well as a tropical geometry for subschemes in a spherical homog…

math.AG2016

Khovanskii bases, higher rank valuations and tropical geometry

Kiumars Kaveh, Christopher Manon

Given a finitely generated algebra $A$ , it is a fundamental question whether $A$ has a full rank discrete (Krull) valuation $v$ with finitely generated value semigroup.…

math.AG2016

The Gorenstein property for projective coordinate rings of the moduli of parabolic $SL_{2}$ -principal bundles on a smooth curve

Theodore Faust, Christopher Manon

Using combinatorial methods, we determine that a projective coordinate ring of the moduli of parabolic principal $SL_{2}$ -bundles on a marked projective curve is not Gorenst…

Gröbner theory and tropical geometry on spherical varieties

Khovanskii bases, higher rank valuations and tropical geometry

The Gorenstein property for projective coordinate rings of the moduli of parabolic SL2​-principal bundles on a smooth curve

The Gorenstein property for projective coordinate rings of the moduli of parabolic $SL_{2}$ -principal bundles on a smooth curve