6 citations · 20 across the 22 of their papers we have counts for
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The set of fixed points of a unipotent group
Zbigniew Jelonek, Michał Lasoń
Let be an algebraically closed field. Let be a non-trivial connected unipotent group, which acts effectively on an affine variety Then every non-empty component of…
Quantitative properties of the non-properness set of a polynomial map
Zbigniew Jelonek, Michał Lasoń
Let be a generically finite polynomial map of algebraic degree . Motivated by the study of the Jacobian Conjecture, we prove that the set $…
On the set of fixed points of a polynomial automorphism
Zbigniew Jelonek, Tomasz Lenarcik
Let K be an algebraically closed field of characteristic zero. We say that a polynomial automorphism f : K^n -> K^n is special if the Jacobian of f is equal to 1. We show that ever…
On finite regular and holomorphic mappings
Zbigniew Jelonek
Let be smooth algebraic varieties of the same dimension. Let be finite polynomial mappings. We say that are equivalent if there exists a regular auto…
The Thom Conjecture for proper polynomial mappings
Zbigniew Jelonek
Let be continuous mappings. We say that is topologically equivalent to if there exist homeomorphisms and such that $Ψ\circ f\circ Φ=g.…
On the group of automorphisms of a quasi-affine variety
Zbigniew Jelonek
Let K be an algebraically closed field of characteristic zero. We show that if the automorphisms group of a quasi-affine variety X is infinite, then X is uniruled.
Bifurcation locus and branches at infinity of a polynomial f : C2 -> c
Zbigniew Jelonek, Mihai Tibar
We show that the number of bifurcation points at infinity of a polynomial function f : C2 -> C is at most the number of branches at infinity of a generic fiber of f and that this u…