Hans Parshall
Published 2016-06-13Version 1
We prove that, provided $d > k$, every sufficiently large subset of $\mathbf{F}_q^d$ contains an isometric copy of every $k$-simplex that avoids spanning a nontrivial self-orthogonal subspace. We obtain comparable results for simplices exhibiting self-orthogonal behavior.
Salem sets in vector spaces over finite fields
Restriction and Kakeya phenomena for finite fields
Weak version of restriction estimates for spheres and paraboloids in finite fields
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