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

Abstract

We characterize the postulation character of arithmetically Gorenstein curves in ${\mathbb{P}}^4$. We give conditions under which the curve can be realized in the form $mH-K$ on some ACM surface. Finally, we strengthen a theorem of Watanabe by showing that any general arithmetically Gorenstein curve in ${\mathbb{P}}^4$ can be obtained from a line by a series of ascending complete-intersection biliaisons.

15 pages

Cited by in corpus (2)

• Generalized Divisors and Biliaison
• Gorenstein Liaison and ACM Sheaves