A Note About Linear Systems on Curves
Keyword(s):
AbstractInverting 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.
Keyword(s):
2016 ◽
Vol 2016
◽
pp. 1-11
◽
Keyword(s):
2009 ◽
Vol 2009
◽
pp. 1-9
◽
Keyword(s):
Keyword(s):
1992 ◽
Vol 114
(3)
◽
pp. 359-368
◽
Keyword(s):
2014 ◽
Vol 2014
◽
pp. 1-6
◽
2008 ◽
Vol 2008
◽
pp. 1-26
◽