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}, zbl = {1177.41001}, mrnumber = {2466439}, 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 DA - 2008/// SP - 545 EP - 577 VL - Ser. 5, 7 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2008_5_7_3_545_0/ UR - https://zbmath.org/?q=an%3A1177.41001 UR - https://www.ams.org/mathscinet-getitem?mr=2466439 LA - en ID - ASNSP_2008_5_7_3_545_0 ER -
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, Série 5, Tome 7 (2008) no. 3, pp. 545-577. http://archive.numdam.org/item/ASNSP_2008_5_7_3_545_0/
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