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Regularity bounds for curves by minimal generators and Hilbert function by Cioffi, Francesca; Marinari, Maria Grazia; Ramella, Luciana is a scholarly article available to read on EtoBox.

What is Regularity bounds for curves by minimal generators and Hilbert function about?

Let $\rho_C$ be the regularity of the Hilbert function of a projective curve $C$ in $\mathbb P^n_K$ over an algebraically closed field $K$ and $\alpha_1,...,\alpha_{n-1}$ be minimal degrees for which there exists a complete intersection of type $(\alpha_1,...,\alpha_{n-1})$ containing the curve $C$. Then the Castelnuovo-Mumford regularity of $C$ is upper bounded by $\max\{\rho_C+1,\alpha_1+...+\alpha_{n-1}-(n-2)\}$. We study and, for space curves, refine the above bound providing several examples.

Author

Cioffi, Francesca; Marinari, Maria Grazia; Ramella, Luciana

Published

2005

Language

EN