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Results tagged with ag.algebraic-geometry
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user 85349
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
8
votes
Bijection from the plane to itself that sends circles to squares
The problem is that two distinct squares can have more than two common points (easy to make an example), and under such a bijection these squares would have to go to two distinct circles with more tha …
- 997
6
votes
Sylvester–Gallai theorem with circle version, plane version and curve version?
For the circles part: it's true.
Assume that each circle defined by our set of points $S$ contains $\geq 4$ points; in particular, there are $\geq 4$ points in total. Fix one of them, say $p$, and c …
- 997