Curves on threefolds and a conjecture of Griffiths-Harris

Ravindra, GV (2009) Curves on threefolds and a conjecture of Griffiths-Harris. In: Mathematische Annalen, 345 (3). pp. 731-748.

PDF 15.pdf - Published Version Restricted to Registered users only Download (243Kb) | Request a copy

Abstract

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

Item Type:	Journal Article
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	28 Aug 2009 09:09
Last Modified:	19 Sep 2010 05:42
URI:	http://eprints.iisc.ernet.in/id/eprint/22626

Actions (login required)

View Item