M. Farnik

activity

20132026

most citedIonization of Ammonia Nanoices With Adsorbed Methanol Molecules

11 citations · 12 across the 8 of their papers we have counts for

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4 papers · 1 filter

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.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…

math.AG2016★ 1 cited

Newton-Okounkov bodies sprouting on the valuative tree

C. Ciliberto, M. Farnik, A. Küronya +3

Given a smooth projective algebraic surface X, a point O in X and a big divisor D on X, we consider the set of all Newton-Okounkov bodies of D with respect to valuations of the fie…

Generic symmetry defect set of an algebraic curve

On stable polynomial mappings

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

Newton-Okounkov bodies sprouting on the valuative tree

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