Identifying quadric bundle structures on complex projective varieties

Details Identifying quadric bundle structures on complex projective varieties Identifying quadric bundle structures on complex projective varieties

2008-11-06

arxiv.org/abs/0811.0940v1

Mathematics

Algebraic Geometry

9 pages. Written for the proceedings of the IV Iberoamerican Conference on Complex Geometry

Scientific paper

In this paper we characterize smooth complex projective varieties that admit
a quadric bundle structure on some dense open subset in terms of the geometry
of certain families of rational curves.

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