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Results tagged with ag.algebraic-geometry
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user 5371
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
25
votes
Polynomials having a common root with their derivatives
The strongest result in this direction that I've heard of is Sudbery's theorem (which was
originally conjectured by Popoviciu and Erdös).
Theorem. Let $P(z)$ be a polynomial of degree $n\geq 2$ a …
- 22.3k
11
votes
Algebraic geometry used "externally" (in problems without obvious algebraic structure).
Explicit theta function representations of soliton solutions to the completely integrable models (the work pioneered by Dubrovin, Matveev, Novikov, Krichever, McKean...).
In the simplest case of th …
- 22.3k
2
votes
An optimization problem for points on the sphere (master's dissertation)
You might be interested in the recent article by Böröczky and Csikós concerning polytopes $P_n$ of $n$ facets with minimal surface area. They studied best approximations of a convex body $K\subset \ …
- 22.3k