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

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

2003-01-15

arxiv.org/abs/math/0301163v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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.

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