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Newton polyhedra and good compactification theorem

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Publication:823809
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DOI10.1007/s40598-020-00157-5zbMath1478.14021arXiv2002.02069OpenAlexW3083066474MaRDI QIDQ823809

A. G. Khovanskii

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02069

zbMATH Keywords

toric varietycomplex torusNewton polyhedragood compactification theorem


Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Algebraic cycles (14C25) Classical problems, Schubert calculus (14N15)




Cites Work

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  • Toroidal embeddings. I
  • Elimination theory and Newton polytopes
  • Newton polyhedra and toroidal varieties
  • The number of roots of a system of equations
  • Polyedres de Newton et nombres de Milnor
  • Newton polyhedra and the genus of complete intersections
  • Intersection theory on toric varieties
  • Truncation of systems of polynomial equations, ideals and varieties
  • The Resultant of Developed Systems of Laurent Polynomials
  • Tropical noetherity and Gröbner bases
  • Compactifications of subvarieties of tori
  • Tropical algebraic geometry
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