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Shadows of Newton polytopes

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    SYSNO ASEP0577240
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleShadows of Newton polytopes
    Author(s) Hrubeš, Pavel (MU-W) RID, SAI, ORCID
    Yehudayoff, A. (IL)
    Source TitleIsrael Journal of Mathematics. - : Magnes press - ISSN 0021-2172
    Roč. 256, č. 1 (2023), s. 311-343
    Number of pages33 s.
    Languageeng - English
    CountryIL - Israel
    KeywordsNewton polytopes ; shadow complexity
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGX19-27871X GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportMU-W - RVO:67985840
    UT WOS001202692900002
    EID SCOPUS85173716859
    DOI10.1007/s11856-023-2510-z
    AnnotationWe define the shadow complexity of a polytope P as the maximum number of vertices in a linear projection of P to the plane. We describe connections to algebraic complexity and to parametrized optimization. We also provide several basic examples and constructions, and develop tools for bounding shadow complexity.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2024
    Electronic addresshttps://doi.org/10.1007/s11856-023-2510-z
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