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formatting (the question was bumped anyway)
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YCor
YCor
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Are there any Algebraic Geometry Theoremsalgebraic geometry theorems that were proved using Combinatoricscombinatorics?

I'm collaborating with some algebraic geometers in a paper, and when writing the introduction I mentioned the interaction of Combinatoricscombinatorics and Algebraic Geometryalgebraic geometry, and gave some examples like the Combinatorialcombinatorial Nullstellensatz, the affirmative answer to the conjecture of Read and Rota-Heron-Welsh and the graph-theoretic analogue of the Riemann-Roch theorem, but then, it seems that all these interactions are one way. I would like to know of an important Algebraic Geometry Theoremalgebraic geometry theorem proved using Combinatoricscombinatorics, or at least used combinatorics in a critical part.

Are there any Algebraic Geometry Theorems that were proved using Combinatorics?

I'm collaborating with some algebraic geometers in a paper, and when writing the introduction I mentioned the interaction of Combinatorics and Algebraic Geometry, and gave some examples like the Combinatorial Nullstellensatz, the affirmative answer to the conjecture of Read and Rota-Heron-Welsh and the graph-theoretic analogue of the Riemann-Roch theorem, but then, it seems that all these interactions are one way. I would like to know of an important Algebraic Geometry Theorem proved using Combinatorics, or at least used combinatorics in a critical part.

Are there any algebraic geometry theorems that were proved using combinatorics?

I'm collaborating with some algebraic geometers in a paper, and when writing the introduction I mentioned the interaction of combinatorics and algebraic geometry, and gave some examples like the combinatorial Nullstellensatz, the affirmative answer to the conjecture of Read and Rota-Heron-Welsh and the graph-theoretic analogue of the Riemann-Roch theorem, but then, it seems that all these interactions are one way. I would like to know of an important algebraic geometry theorem proved using combinatorics, or at least used combinatorics in a critical part.

Post Made Community Wiki by Todd Trimble
Corrected grammar.
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edit approved Mar 27, 2015 at 4:49
Pedro
edit approved Mar 27, 2015 at 4:49
Pedro
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Are there any Algebraic Geometry Theorems that waswere proved using Combinatorics?

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criel
criel
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Are there any Algebraic Geometry Theorems that was proved using Combinatorics?

I'm collaborating with some algebraic geometers in a paper, and when writing the introduction I mentioned the interaction of Combinatorics and Algebraic Geometry, and gave some examples like the Combinatorial Nullstellensatz, the affirmative answer to the conjecture of Read and Rota-Heron-Welsh and the graph-theoretic analogue of the Riemann-Roch theorem, but then, it seems that all these interactions are one way. I would like to know of an important Algebraic Geometry Theorem proved using Combinatorics, or at least used combinatorics in a critical part.