The Newton polytope of the Morse discriminant of a univariate polynomial

DOI10.1016/j.aim.2023.109275arXiv2104.05123OpenAlexW3155744530MaRDI QIDQ6049894

Arina Voorhaar

Publication date: 11 October 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05123

zbMATH Keywords

singularitieselimination theoryNewton polytopestropical geometry

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Cites Work

• Unnamed Item
• Signs of the leading coefficients of the resultant
• Tropical Hurwitz numbers
• Tropical open Hurwitz numbers
• Characteristic classes of affine varieties and Plücker formulas for affine morphisms
• Elimination theory and Newton polytopes
• Newton polyhedra and the genus of complete intersections
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Arithmetics and combinatorics of tropical Severi varieties of univariate polynomials
• On the singular locus of a plane projection of a complete intersection
• Singularités quasi-ordinaires toriques et polyèdre de Newton du discriminant

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