Bartosz Naskrkecki

activity

20182026

most citedSecond moments and the bias conjecture for the family of cubic pencils

4 citations · 4 across the 4 of their papers we have counts for

collaborators

5 papers

math.AG2026

A $(2 4_{4}, 3 2_{3})$ -configuration on the Schur quartic with logarithmic Chern slope $14/5$

Bartosz Naskręcki, Piotr Pokora

Let $X \subset P^{3}$ be the Schur quartic \[ x_0^4-x_0x_1^3-x_2^4+x_2x_3^3=0. \] We exhibit a connected arrangement of $24$ lines on $X$ , defined over $Q (- 3)$ …

math.NT2023

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

Stefan Barańczuk, Bartosz Naskręcki, Matteo Verzobio

Let $A$ be an abelian variety defined over a number field $K$ , $E / K$ be an elliptic curve, and $ϕ : A \to E^{m}$ be an isogeny defined over $K$ . Let $P \in A (K)$ be such that $ϕ(P)=(Q_1,…

math.AG2021

Explicit equations of 800 conics on a Barth-Bauer quartic

Bartosz Naskręcki

We present equations of $800$ conics on a Mukai's smooth quartic which is an explicit model of a K3 surface recently considered by Alex Degtyarev. The number $800$ is a current rec…

math.NT2020★ 4 cited

Second moments and the bias conjecture for the family of cubic pencils

Matija Kazalicki, Bartosz Naskręcki

For a 1-parametric family $E_{k}$ of elliptic curves over $Q$ and a prime $p$ , consider the second moment sum $M_{2, p} (E_{k}) = \sum_{k \in F_{p}} a_{k, p}^{2}$ , where $a_{k…

math.NT2018

On higher congruences between cusp forms and Eisenstein series. II