For an arithmetically Cohen-Macaulay subscheme of projective space, there is a well-known bound for the highest degree of a minimal generator for the defining ideal of the subscheme, in terms of the Hilbert function. We prove a natural extension of this bound for arbitrary locally Cohen-Macaulay subschemes. We then specialize to curves in P-3, and show that the curves whose defining ideals have generators of maximal degree satisfy an interesting cohomological property. The even liaison classes possessing such curves are characterized, and we show that within an even liaison class, all curves with the property satisfy a strong Lazarsfeld-Rao structure theorem. This allows us to give relatively complete conditions for when a liaison class con...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
For an arithmetically Cohen-Macaulay subscheme of projective space, there is a well-known bound for ...
this paper, we are interested in giving an upper bound for the degrees of the generators for an idea...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
AbstractLet C be an arithmetically Buchsbaum curve in Pn and let IC be its ideal. We study C and IC ...
We analyze the degree reverse lexicographic generic initial ideals of locally CohenMacaulay space cu...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
Let C be an irreducible projective curve of degree d in P^n(K), where K is an algebraically closed...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
For an arithmetically Cohen-Macaulay subscheme of projective space, there is a well-known bound for ...
this paper, we are interested in giving an upper bound for the degrees of the generators for an idea...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
Let $P_{\textsc{max}}(d,s)$ denote the maximum arithmetic genus of a locally Cohen-Macaulay curve o...
AbstractLet C be an arithmetically Buchsbaum curve in Pn and let IC be its ideal. We study C and IC ...
We analyze the degree reverse lexicographic generic initial ideals of locally CohenMacaulay space cu...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
Let C be an irreducible projective curve of degree d in P^n(K), where K is an algebraically closed...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...
Let Hd,g denote the Hilbert scheme of locally Cohen–Macaulay curves of degree d and genus g in proj...