Timeline for Are there any algebraic geometry theorems that were proved using combinatorics?
Current License: CC BY-SA 4.0
28 events
| when toggle format | what | by | license | comment | |
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| Jan 10, 2021 at 3:05 | comment | added | user149000 | I believe Hironaka's proof of resolution of singularities uses some combinatorial arguments.. | |
| Jan 9, 2021 at 23:06 | history | edited | YCor | CC BY-SA 4.0 |
formatting (the question was bumped anyway)
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| Jan 9, 2021 at 22:23 | answer | added | M. Khan | timeline score: 2 | |
| Jul 7, 2015 at 14:36 | comment | added | Sam Hopkins | In the same spirit as my last comment, but (as I am told) now establishing a new result, here is a link to a tropical proof of the maximal rank conjecture for quadrics: arxiv.org/abs/1505.05460 | |
| Jun 5, 2015 at 20:26 | vote | accept | criel | ||
| Jun 5, 2015 at 20:24 | vote | accept | criel | ||
| Jun 5, 2015 at 20:26 | |||||
| Jun 5, 2015 at 20:24 | vote | accept | criel | ||
| Jun 5, 2015 at 20:24 | |||||
| Mar 30, 2015 at 1:31 | answer | added | Sándor Kovács | timeline score: 4 | |
| Mar 28, 2015 at 16:46 | answer | added | roy smith | timeline score: 7 | |
| Mar 28, 2015 at 3:27 | comment | added | Mariano Suárez-Álvarez | Mathematical truth has very few sources. Arithmetic is one, combinatorics is another. Most things have a genealogy which goes all the way to these true Adam and Eves, through a surprisingly short chain of begats. | |
| Mar 28, 2015 at 2:59 | comment | added | Turbo | I bet there is a crucial lemma or two from combinatorics when you derive bounds on AG codes or counting points on varieties on Field of characteristic $\neq0$? | |
| Mar 28, 2015 at 2:29 | answer | added | gsvr | timeline score: 8 | |
| Mar 27, 2015 at 16:58 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Mar 27, 2015 at 16:26 | answer | added | Zach H | timeline score: 7 | |
| Mar 27, 2015 at 16:10 | comment | added | user5117 | As others have indicated, I think there is such an overlap between the two subjects that it's hard to know where one ends and the other begins. I thnik @JustinHilburn has given the most compelling example. Another notable one is the appearance of combinatorics (of a rather different kind) in the study of moduli spaces of curves. This paper by Pandharipande--Pixton gives a good idea of what I'm talking about: arxiv.org/pdf/1301.4561.pdf | |
| Mar 27, 2015 at 14:58 | answer | added | Timothy Chow | timeline score: 5 | |
| S Mar 27, 2015 at 4:49 | history | suggested | Pedro | CC BY-SA 3.0 |
Corrected grammar.
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| Mar 27, 2015 at 4:14 | review | Suggested edits | |||
| S Mar 27, 2015 at 4:49 | |||||
| Mar 27, 2015 at 4:05 | answer | added | David E Speyer | timeline score: 15 | |
| Mar 27, 2015 at 3:27 | answer | added | Allen Knutson | timeline score: 6 | |
| Mar 27, 2015 at 2:41 | comment | added | Omar Antolín-Camarena | So more people feel curious about @SamHopkins's link: it points to a paper called A tropical proof of the Brill-Noether Theorem by Filip Cools, Jan Draisma, Sam Payne, Elina Robeva. | |
| Mar 27, 2015 at 1:17 | comment | added | Sam Hopkins | arxiv.org/abs/1001.2774 | |
| Mar 27, 2015 at 1:02 | comment | added | Todd Trimble | Somewhat along the lines of Turbo's comment (in fact, all the comments before this), it's a little hard to know what combinatorics is exactly, or how one should define its scope. For example, matroids from one point of view is combinatorics. From another, it's more or less what model theorists call a "geometry" or "pre-geometry". | |
| Mar 26, 2015 at 22:19 | comment | added | Justin Hilburn | Toric varieties and polyhedra? | |
| Mar 26, 2015 at 22:03 | comment | added | Turbo | As I heard everything is about counting stated abstractly. | |
| Mar 26, 2015 at 21:59 | comment | added | Alex R. | Does Schubert Calculus qualify? | |
| Mar 26, 2015 at 21:57 | review | First posts | |||
| Mar 26, 2015 at 22:45 | |||||
| Mar 26, 2015 at 21:51 | history | asked | criel | CC BY-SA 3.0 |