Characteristic 2 approach to bivariate interpolation problems

Mathematics – Algebraic Geometry

Scientific paper

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12 pages

Scientific paper

We investigate bivariate 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 10 base points is non-special.

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