3 papers
physics.chem-ph2022
Roughness spectroscopy of particle monolayer: Implications for spectral analysis of the monolayer image
Paweł Weroński, Karolina Pałka
Surface roughness of particle monolayer is one of its fundamental characteristics, conventionally described in terms of power spectral density. We derive a general equation for thi…
math.AG2019
Complex planar curves homeomorphic to a line have at most four singular points
Mariusz Koras, Karol Palka
We show that a complex planar curve homeomorphic to the projective line has at most four singular points. If it has exactly four then it has degree five and is unique up to a proje…
math.AG2018
Classification of planar rational cuspidal curves. II. Log del Pezzo models
Karol Palka, Tomasz Pełka
Let be a complex curve homeomorphic to the projective line. The Negativity Conjecture asserts that the Kodaira-Iitaka dimension of , whe…