79527 20190702094321.0 doi 10.1007/s00365-017-9380-8 sideral 99720 ART-2017-99720 eng (orcid)0000-0003-4359-1499 Carnicer, Jesús Universidad de Zaragoza Observations on interpolation by total degree polynomials in two variables 2017 Access copy available to the general public Unrestricted In contrast to the univariate case, interpolation with polynomials of a given maximal total degree is not always possible even if the number of interpolation points and the space dimension coincide. Due to that, numerous constructions for interpolation sets have been devised, the most popular ones being based on intersections of lines. In this paper, we study algebraic properties of some such interpolation configurations, namely the approaches by Radon–Berzolari and Chung–Yao. By means of proper H-bases for the vanishing ideal of the configuration, we derive properties of the matrix of first syzygies of this ideal that allow us to draw conclusions on the geometry of the point configuration. info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2015-65433-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.827 2017 MATHEMATICS 116 / 309 = 0.375 2017 Q2 T2 0.738 2017 Analysis 2017 Q2 Mathematics (miscellaneous) 2017 Q2 Computational Mathematics 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Sauer, Tomás 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 47, 3 (2017), 373-389 [16 p.] Constr. approx. CONSTRUCTIVE APPROXIMATION 0176-4276 304683 http://zaguan.unizar.es/record/79527/files/texto_completo.pdf Postprint 46861 http://zaguan.unizar.es/record/79527/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:79527 articulos driver 2019-07-02-08:15:43 ARTICLE