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A Note About Linear Systems on Curves
Published online by Cambridge University Press: 20 November 2018
Abstract
Inverting the Castelnuovo bound in two ways, we show that for given integers p ≥ 0, d > 1, n > 1, we can find a smooth irreducible curve of genus p which contains a linear system of degree d and of maximal dimension relative to the given data p and d, and a smooth irreducible curve of genus p which contains a linear system of dimension n and of minimal degree relative to the data p and n.
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- Research Article
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- Copyright © Canadian Mathematical Society 1984