Kaloyan Slavov

activity

20122026

most citedAn application of random plane slicing to counting

F_{q}

-points on hypersurfaces

9 citations · 24 across the 13 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.GR2021

The proportion of derangements characterizes the symmetric and alternating groups

Bjorn Poonen, Kaloyan Slavov

Let $G$ be a subgroup of the symmetric group $S_{n}$ . If the proportion of fixed-point-free elements in $G$ (or a coset) equals the proportion of fixed-point-free elements in $S_{n}$ ,…

math.AG2021

Improved Lang--Weil bounds for a geometrically irreducible hypersurface over a finite field

Kaloyan Slavov

We sharpen to nearly optimal the known asymptotic and explicit bounds for the number of $F_{q}$ -rational points on a geometrically irreducible hypersurface over a (large) fi…