9 citations · 24 across the 13 of their papers we have counts for
Showing 2014 · math.AGShow all
2 papers · 2 filters
math.AG2014★ 1 cited
Variants of the Kakeya problem over an algebraically closed field
Kaloyan Slavov
First, we study constructible subsets of $\A^n_k$ which contain a line in any direction. We classify the smallest such subsets in $\A^3$ of the type where $g\in…
math.AG2014★ 2 cited
An algebraic geometry version of the Kakeya problem
Kaloyan Slavov
We propose an algebraic geometry framework for the Kakeya problem. We conjecture that for any polynomials $f,g\in\F_{q_0}[x,y]$ and any $\F_q/\F_{q_0}$, the image of the map $\F_q^…