Karol Palka

activity

20082022

most citedThe Coolidge-Nagata conjecture

28 citations · 136 across the 17 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.AG2014★ 6 cited

The geometry of sporadic $C^{*}$ -embeddings into $C^{2}$

Mariusz Koras, Karol Palka, Peter Russell

A closed algebraic embedding of $C^{*} = C^{1} ∖ {0}$ into $C^{2}$ is 'sporadic' if for every curve $A \subseteq C^{2}$ isomorphic to an affine lin…

math.AG2014★ 12 cited

The Coolidge-Nagata conjecture, part I

Karol Palka

Let $E \subseteq P^{2}$ be a complex rational cuspidal curve contained in the projective plane and let $(X, D) \to (P^{2}, E)$ be the minimal log resolution of singularit…

math.AG2014★ 7 cited

A new proof of the theorems of Lin-Zaidenberg and Abhyankar-Moh-Suzuki

Karol Palka

Using the theory of minimal models of quasi-projective surfaces we give a new proof of the theorem of Lin-Zaidenberg which says that every topologically contractible algebraic curv…

math.AG2014★ 18 cited

Cuspidal curves, minimal models and Zaidenberg's finiteness conjecture

Karol Palka

Let $E \subseteq P^{2}$ be a complex rational cuspidal curve and let $(X, D) \to (P^{2}, E)$ be the minimal log resolution of singularities. We prove that $E ˉ$ has at…

The geometry of sporadic C∗-embeddings into C2

The Coolidge-Nagata conjecture, part I

A new proof of the theorems of Lin-Zaidenberg and Abhyankar-Moh-Suzuki

Cuspidal curves, minimal models and Zaidenberg's finiteness conjecture

The geometry of sporadic $C^{*}$ -embeddings into $C^{2}$