Kaloyan Slavov

activity

20242026

collaborators

3 papers

math.AG2026

Sharp bounds for frame counts and setwise stabilizers in classical groups

Kaloyan Slavov

Let $k$ be a field, let $V = k^{n}$ , and let $G$ be a classical group acting on $V$ . For a finite subset $E \subset V$ and a basis $u = (u_{1}, \dots, u_{n})$ of $V$ , we study the set of $G$ -fr…

math.CO2025

Sets preserved by a large subgroup of the special linear group

Le Quang Hung, Thang Pham, Kaloyan Slavov

Let $E$ be a subset of the affine plane over a finite field $F_{q}$ . We bound the size of the subgroup of $S L_{2} (F_{q})$ that preserves $E$ . As a consequence, we show…

math.AG2024

Square values of several polynomials over a finite field

Kaloyan Slavov

Let $f_{1}, \dots, f_{m}$ be polynomials in $n$ variables with coefficients in a finite field $F_{q}$ . We estimate the number of points $x$ in $F_{q}^{n}$ such th…