Timeline for Are there any algebraic geometry theorems that were proved using combinatorics?
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| Dec 2, 2015 at 2:32 | comment | added | Timothy Chow | There's some work by MacPherson and his collaborators that may fall into this category. For example, the equivariant cohomology of certain varieties can be computed from a purely combinatorial object called the moment graph. But I'm not sure if @criel would accept examples where something an algebraic geometer wants to compute is reduced to a combinatorial calculation (as opposed to directly quoting a standard theorem from combinatorics). If not then there may not be too many examples since combinatorics is stronger on methods and ad hoc reasoning than on ready-made theorems. | |
| Mar 28, 2015 at 2:46 | history | edited | gsvr | CC BY-SA 3.0 |
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| Mar 28, 2015 at 2:40 | comment | added | Noam D. Elkies | (A generic smooth hypersurface, I suppose you mean: there are certainly hypersurfaces of each degree and dimension with nontrivial automorphism groups.) | |
| S Mar 28, 2015 at 2:29 | history | answered | gsvr | CC BY-SA 3.0 | |
| S Mar 28, 2015 at 2:29 | history | made wiki | Post Made Community Wiki by gsvr |