Author's Department/Program
Mathematics
Language
English (en)
Date of Award
5-24-2012
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Chair and Committee
N. Mohan Kumar
Abstract
We show that for a general smooth rational curve on a general hypersurface of degree $d\leq N$ in $\mathbb{P}^N$, $N\geq 4$, the restriction map of global sections is of maximal rank, and therefore the regularity index of such curves is as small as possible.
Recommended Citation
Gharahbeigi, Sara, "Castelnuovo-Mumford Regularity of General Rational Curves on Hypersurfaces." (2012). All Theses and Dissertations (ETDs). 691.
https://openscholarship.wustl.edu/etd/691
COinS
Comments
Permanent URL: http://dx.doi.org/10.7936/K70G3H7J