R. Hartshorne

activity

19992008

most citedGeometry of arithmetically Gorenstein curves in

P^{4}

9 citations · 19 across the 6 of their papers we have counts for

collaborators

Showing math.AGShow all

12 papers · 1 filter

math.AG2008★ 1 cited

ACM bundles on cubic surfaces

Marta Casanellas, Robin Hartshorne

In this paper we prove that, for every $r \geq 2$ , the moduli space $M_{X}^{s} (r; c_{1}, c_{2})$ of rank $r$ stable vector bundles with Chern classes $c_{1} = r H$ and $c_{2} = (3 r^{2} - r) /2$ on a nonsi…

math.AG2006

Liaison addition and the structure of a Gorenstein liaison class

Robin Hartshorne, Juan Migliore, Uwe Nagel

We study the concept of liaison addition for codimension two subschemes of an arithmetically Gorenstein projective scheme. We show how it relates to liaison and biliaison classes o…

math.AG2003★ 1 cited

Gorenstein Liaison and ACM Sheaves

Marta Casanellas, Elena Drozd, Robin Hartshorne

We study Gorenstein liaison of codimension two subschemes of an arithmetically Gorenstein scheme X. Our main result is a criterion for two such subschemes to be in the same Gorenst…

math.AG2003

Gorenstein Biliaison and ACM Sheaves

Marta Casanellas, Robin Hartshorne

Let $X$ be a normal arithmetically Gorenstein scheme in $P^{n}$ . We give a criterion for all codimension two ACM subschemes of $X$ to be in the same Gorenstein biliaison cl…

math.AG2003

On Rao's Theorems and the Lazarsfeld-Rao Property

Robin Hartshorne

Let $X$ be an integral projective scheme satisfying the condition $S_{3}$ of Serre and $H^{1} (O_{X} (n)) = 0$ for all $n \in Z$ . We generalize Rao's theorem by showin…

math.AG2003★ 9 cited

Geometry of arithmetically Gorenstein curves in $P^{4}$