A Note About Linear Systems on Curves
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 371-374
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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.
Tannenbaum, Allen. A Note About Linear Systems on Curves. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 371-374. doi: 10.4153/CMB-1984-056-3
@article{10_4153_CMB_1984_056_3,
author = {Tannenbaum, Allen},
title = {A {Note} {About} {Linear} {Systems} on {Curves}},
journal = {Canadian mathematical bulletin},
pages = {371--374},
year = {1984},
volume = {27},
number = {3},
doi = {10.4153/CMB-1984-056-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-056-3/}
}
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