3 papers
math.NT2026
On numerical semigroups with embedding dimension four
Kazimierz Chomicz
We develop a geometric procedure for finding the Apéry set of any numerical semigroup with embedding dimension four. Previous methods of comparable strength worked only for embedd…
math.MG2025
A Family of Eight-Point Conics Associated with the Cyclic Quadrilateral
Kazimierz Chomicz, MiÅosz PÅatek, Konstanty Smolira +1
We consider the following configuration. Let be a cyclic quadrilateral with circumcenter , and for each vertex , let be the orthocenter of the triangle formed by…
math.NT2025
On the fourth power level of -adic completions of biquadratic number fields
Kazimierz Chomicz
Let be a number field and be a prime ideal. We compute the fourth level of the -adic completions of when the ramification index is …