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},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 7},
number = {3},
year = {2008},
pages = {545-577},
zbl = {1177.41001},
mrnumber = {2466439},
language = {en},
url = {http://www.numdam.org/item/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://www.numdam.org/item/ASNSP_2008_5_7_3_545_0/
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