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Results tagged with projective-geometry
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user 2083
10
votes
1
answer
286
views
Freiman inequality for projective space?
This question is suggested by some results in a paper I am writing. I would like to write it down there but want to make sure that it is not known or at least MO-hard.
Freiman's inequality states th …
- 30.6k
5
votes
Accepted
Freiman inequality for projective space?
As stated, the answer is no, Freiman's inequality no longer holds. The counter example is $A$ being the vertices of an equilateral triangle on the unit circle. I found this by looking at the proof of …
- 30.6k
14
votes
Accepted
Can projective hypersurfaces contain linear spaces? How big?
I think the key word you are looking for is Fano schemes of $S$. See this
note by Jason Starr for a reference. For example, if $S$ is smooth and non-degenerate, it can not contain a linear subspace o …
- 30.6k