We introduce and study the notion of Taylorian points of algebraic curves in , which enables us to define intrinsic Taylor interpolation polynomials on curves. These polynomials in turn lead to the construction of a well-behaved Hermitian scheme on curves, of which we give several examples. We show that such Hermitian schemes can be collected to obtain Hermitian bivariate polynomial interpolation schemes.
@article{ASNSP_2008_5_7_3_545_0, author = {Bos, Len and Calvi, Jean-Paul}, title = {Taylorian points of an algebraic curve and bivariate {Hermite} interpolation}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {545--577}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 7}, number = {3}, year = {2008}, mrnumber = {2466439}, zbl = {1177.41001}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2008_5_7_3_545_0/} }
TY - JOUR AU - Bos, Len AU - Calvi, Jean-Paul TI - Taylorian points of an algebraic curve and bivariate Hermite interpolation JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2008 SP - 545 EP - 577 VL - 7 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2008_5_7_3_545_0/ LA - en ID - ASNSP_2008_5_7_3_545_0 ER -
%0 Journal Article %A Bos, Len %A Calvi, Jean-Paul %T Taylorian points of an algebraic curve and bivariate Hermite interpolation %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2008 %P 545-577 %V 7 %N 3 %I Scuola Normale Superiore, Pisa %U http://archive.numdam.org/item/ASNSP_2008_5_7_3_545_0/ %G en %F ASNSP_2008_5_7_3_545_0
Bos, Len; Calvi, Jean-Paul. Taylorian points of an algebraic curve and bivariate Hermite interpolation. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 7 (2008) no. 3, pp. 545-577. http://archive.numdam.org/item/ASNSP_2008_5_7_3_545_0/
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