Piotr Migus

activity

20152026

most citedSufficiency of non-isolated singularities

1 citations · 2 across the 5 of their papers we have counts for

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math.AG2026

Generic degrees of real polynomial Keller maps with non-dense image

Piotr Migus

We determine the possible generic degrees of real polynomial Keller maps with non-dense image, where density is understood in the Euclidean topology. For every dimension $n \geq 3$ ,…

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.AG2015★ 1 cited

Sufficiency of non-isolated singularities

Piotr Migus, Tomasz Rodak, Stanisław Spodzieja

We give, in terms of the Łojasiewicz inequality, a sufficient condition for $C^{k}$ -mappings germs of non-isolated singularity at zero to be isotopical.

math.AG2015★ 1 cited

Local $C^{r}$ -right equivalence of $C^{r + 1}$ functions

Piotr Migus

Let $f, g : (R^{n}, 0) \to (R, 0)$ be $C^{r + 1}$ functions, $r \in N$ . We will show that if $\nabla f (0) = 0$ and there exist a neigbourhood $U$ of $0\in \ma…

Generic degrees of real polynomial Keller maps with non-dense image

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

Sufficiency of non-isolated singularities

Local Cr-right equivalence of Cr+1 functions

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

Local $C^{r}$ -right equivalence of $C^{r + 1}$ functions