On the Noether and the Cayley-Bacharach theorems with PD multiplicities

DOI10.3103/S1068362320030048zbMath1452.41002arXiv2004.01262OpenAlexW3083638331MaRDI QIDQ2208706

N. Vardanyan, Hakop A. Hakopian

Publication date: 4 November 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01262

zbMATH Keywords

polynomial interpolation\(n\)-independent setarithmetical multiplicityPD multiplicity space

Mathematics Subject Classification ID

Plane and space curves (14H50) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Cites Work

• A new proof of the Gasca-Maeztu conjecture for \(n=4\)
• Partial differential analogs of ordinary differential equations and systems
• Cayley-Bacharach theorems and conjectures
• On multiplicities in polynomial system solving
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