All Questions
3 questions
2
votes
1
answer
103
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Is every Cartesian biaffine plane affine?
This question concerns the (synthetic) geometry of linear spaces.
Definition 1. A linear space is a pair (P,L) consisting of a set P whose elements are called points and a family $\...
4
votes
0
answers
102
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Bounds on k-tuple points for intersections of hyperplanes
Suppose that H1,...,Hd are hyperplanes in Pn (over some field -- you can pick). For k≥n, let tk denote the number of points through which there pass exactly k hyperplanes....
8
votes
2
answers
972
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Incidence geometry and matrices
Supposing I have a 0/1 or ±1 matrix A of size m×n, is there a minimum d (that works for every m×n A) such that there exists m lines r1,…,rm, n lines $s_1,\dots,...