Kazimierz Chomicz

collaborators

4 papers

math.CO2026

The type and cardinality of minimal presentations of numerical semigroups with embedding dimension four

Kazimierz Chomicz

For a numerical semigroup $S$ with embedding dimension four, we study the relationship between its type $t (S)$ and the cardinality of its minimal presentations $η (S)$ . Using an app…

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 embeddi…

math.MG2025

A Family of Eight-Point Conics Associated with the Cyclic Quadrilateral

Kazimierz Chomicz, Miłosz Płatek, Konstanty Smolira +1

We consider the following configuration. Let $A B C D$ be a cyclic quadrilateral with circumcenter $O$ , and for each vertex $X$ , let $H_{X}$ be the orthocenter of the triangle formed by…

math.NT2025

On the fourth power level of $p$ -adic completions of biquadratic number fields

Kazimierz Chomicz

Let $K$ be a number field and $p ∣ (2)$ be a prime ideal. We compute the fourth level of the $p$ -adic completions of $K$ when the ramification index is $4$ …

The type and cardinality of minimal presentations of numerical semigroups with embedding dimension four

On numerical semigroups with embedding dimension four

A Family of Eight-Point Conics Associated with the Cyclic Quadrilateral

On the fourth power level of p-adic completions of biquadratic number fields

On the fourth power level of $p$ -adic completions of biquadratic number fields