4 papers
math.AG2026
A -configuration on the Schur quartic with logarithmic Chern slope
Bartosz NaskrÄcki, Piotr Pokora
Let 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 lines on , defined over …
physics.comp-ph2026
Direction-aware topological descriptors for Young's modulus prediction in porous materials
RafaÅ Topolnicki, MichaÅ Bogdan, Jakub Malinowski +3
Classical topological descriptors used in topological data analysis (TDA) are invariant under permutations of spatial axes and therefore cannot represent the loading direction, whi…
math.NT2025
Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve
Stefan BaraÅczuk, Bartosz NaskrÄcki, Matteo Verzobio
Let be an abelian variety defined over a number field , be an elliptic curve, and be an isogeny defined over . Let be such that $Ï(P)=(Q_…
math.NT2025
Second moments and the bias conjecture for the family of cubic pencils
Matija Kazalicki, Bartosz NaskrÄcki
For a 1-parametric family of elliptic curves over and a prime , consider the second moment sum , where $a_{k…