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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66265We 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 pagesAlgebraic Geometry14M06; 14H50Geometry of arithmetically Gorenstein curves in ${\mathbb P}^4$text