Characteristic 2 approach to bivariate interpolation problems |
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Authors: | Kyungyong Lee |
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Institution: | (1) Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA |
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Abstract: | We investigate bivariate Hermite interpolation problems in characteristic 2. Given a nonnegative integer t, we describe all the sub-linear systems generated by monomials, in which there is no curve passing through a general point
with multiplicity at least 2
t
. As an application, we show that a certain linear system of plane curves with ten base points is non-special.
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Keywords: | Bivariate interpolation Plane curves Multiplicity |
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