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Shadows of Newton polytopes
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SYSNO ASEP 0577240 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Shadows of Newton polytopes Author(s) Hrubeš, Pavel (MU-W) RID, SAI, ORCID
Yehudayoff, A. (IL)Source Title Israel Journal of Mathematics. - : Magnes press - ISSN 0021-2172
Roč. 256, č. 1 (2023), s. 311-343Number of pages 33 s. Language eng - English Country IL - Israel Keywords Newton polytopes ; shadow complexity Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GX19-27871X GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 001202692900002 EID SCOPUS 85173716859 DOI 10.1007/s11856-023-2510-z Annotation We 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2024 Electronic address https://doi.org/10.1007/s11856-023-2510-z
Number of the records: 1