A note on polynomial maps having fibers of maximal dimension

DOI10.4064/cm8162-8-2020zbMath1482.14051arXiv1910.01333OpenAlexW3135009789MaRDI QIDQ5158509

Boulos El Hilany

Publication date: 25 October 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01333

zbMATH Keywords

Newton polytopespolynomial mapsatypical fibers

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Rational and birational maps (14E05)

Related Items (1)

Counting isolated points outside the image of a polynomial map

Cites Work

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• Lectures on algebraic statistics
• On the bifurcation set of a polynomial function and Newton boundary
• The number of roots of a system of equations
• Note on estimation of the number of the critical values at infinity
• On the bifurcation set of a polynomial function and Newton boundary. II
• The discriminant of a system of equations
• Newton polytopes and irreducible components of complete intersections

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