Boulos El Hilany

activity

20152019

most citedDescribing the Jelonek set of polynomial maps via Newton polytopes

2 citations · 2 across the 3 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.AG2019

A note on polynomial maps having fibers of maximal dimension

Boulos El Hilany

For any two integers $k, n$ , $2 \leq k \leq n$ , let $f : (C^{*})^{n} \to C^{k}$ be a generic polynomial map with given Newton polytopes. It is known that points, whose…

math.AG2019★ 2 cited

Describing the Jelonek set of polynomial maps via Newton polytopes

Boulos El Hilany

Let $\K=\C$, or $R$ , and $S_{f}$ be the set of points in $\K^n$ at which a polynomial map $f:\K^n\rightarrow\K^n$ is non-proper. Jelonek proved that $S_{f}$ is a semi-algebraic set th…

math.AG2019

Counting isolated points outside the image of a polynomial map

Boulos El Hilany

We consider a generic family of polynomial maps $f := (f_{1}, f_{2}) : C^{2} \to C^{2}$ with given supports of polynomials, and degree $d (f) := max (d e g f_{1}, d e g f_{2})$ .…