Title

Castelnuovo-Mumford Regularity of General Rational Curves on Hypersurfaces.

Author

Sara Gharahbeigi, Washington University in St. LouisFollow

Author's School

Graduate School of Arts & Sciences

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.

Comments

Permanent URL: http://dx.doi.org/10.7936/K70G3H7J

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