M. Farnik

activity

20182022

collaborators

5 papers

math.AG2022

Generic symmetry defect set of an algebraic curve

L. R. G. Dias, M. Farnik, Z. Jelonek

Let $X \subset C^{2 n}$ be an $n$ -dimensional algebraic variety. We define the algebraic version of the generic symmetry defect set (Wigner caustic) of $X$ . Moreover, we co…

math.AG2020

On stable polynomial mappings

Michał Farnik, Zbigniew Jelonek

For given natural numbers $d_{1}, d_{2}$ let $Ω_{2} (d_{1}, d_{2})$ be the set off all polynomial mappings $F = (f, g) : C^{2} \to C^{2}$ such that deg $f \leq d_{1}$ , deg $g \leq d_{2}$ . We say…

math.CO2019

Hat chromatic number of graphs

Bartłomiej Bosek, Andrzej Dudek, Michał Farnik +2

We study the hat chromatic number of a graph defined in the following way: there is one player at each vertex of a loopless graph $G$ , an adversary places a hat of one of $K$ color…

physics.atm-clus2018

Ionization of Ammonia Nanoices With Adsorbed Methanol Molecules

Michal Fárník, Andriy Pysanenko, Kamila Moriová +4

Large ammonia clusters represent a model system of ices which are omnipresent throughout the space. The interaction of ammonia ices with other hydrogen-boding molecules such as met…

math.AG2018

On quadratic polynomial mappings from the plane into the $n$ dimensional space

Michał Farnik, Zbigniew Jelonek, Piotr Migus

We show that, up to linear equivalence, there are only finitely many polynomial quadratic mappings $F : C^{2} \to C^{n}$ and $F : R^{2} \to R^{n}$ . We list all…