Curves on Threefolds and a Conjecture of Griffiths-harris

نویسنده

  • G. V. RAVINDRA
چکیده

We prove that any arithmetically Gorenstein curve on a smooth, general hypersurface X ⊂ P of degree at least 6, is a complete intersection. This gives a characterisation of complete intersection curves on general type hypersurfaces in P. We also verify that certain 1-cycles on a general quintic hypersurface are non-trivial elements of the Griffiths group.

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تاریخ انتشار 2009