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2 votes
1 answer
103 views

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 $\...
Taras Banakh's user avatar
4 votes
0 answers
102 views

Bounds on k-tuple points for intersections of hyperplanes

Suppose that H1,...,Hd are hyperplanes in Pn (over some field -- you can pick). For kn, let tk denote the number of points through which there pass exactly k hyperplanes....
J L's user avatar
  • 41
8 votes
2 answers
972 views

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,...
Turbo's user avatar
  • 13.9k