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Refining Castelnuovo-Halphen bounds
Castelnuovo-Halphen Theory Hartshorne-Rao module Hilbert polynomial arithmetic genus
2011/9/14
Abstract: Fix integers $r,d,s,\pi$ with $r\geq 4$, $d\gg s$, $r-1\leq s \leq 2r-4$, and $\pi\geq 0$. Refining classical results for the genus of a projective curve, we exhibit a sharp upper bound for ...