000079527 001__ 79527 000079527 005__ 20190702094321.0 000079527 0247_ $$2doi$$a10.1007/s00365-017-9380-8 000079527 0248_ $$2sideral$$a99720 000079527 037__ $$aART-2017-99720 000079527 041__ $$aeng 000079527 100__ $$0(orcid)0000-0003-4359-1499$$aCarnicer, Jesús$$uUniversidad de Zaragoza 000079527 245__ $$aObservations on interpolation by total degree polynomials in two variables 000079527 260__ $$c2017 000079527 5060_ $$aAccess copy available to the general public$$fUnrestricted 000079527 5203_ $$aIn 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. 000079527 536__ $$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2015-65433-P 000079527 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000079527 590__ $$a0.827$$b2017 000079527 591__ $$aMATHEMATICS$$b116 / 309 = 0.375$$c2017$$dQ2$$eT2 000079527 592__ $$a0.738$$b2017 000079527 593__ $$aAnalysis$$c2017$$dQ2 000079527 593__ $$aMathematics (miscellaneous)$$c2017$$dQ2 000079527 593__ $$aComputational Mathematics$$c2017$$dQ2 000079527 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000079527 700__ $$aSauer, Tomás 000079527 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000079527 773__ $$g47, 3 (2017), 373-389 [16 p.]$$pConstr. approx.$$tCONSTRUCTIVE APPROXIMATION$$x0176-4276 000079527 8564_ $$s304683$$uhttps://zaguan.unizar.es/record/79527/files/texto_completo.pdf$$yPostprint 000079527 8564_ $$s46861$$uhttps://zaguan.unizar.es/record/79527/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000079527 909CO $$ooai:zaguan.unizar.es:79527$$particulos$$pdriver 000079527 951__ $$a2019-07-02-08:15:43 000079527 980__ $$aARTICLE