Identifying quadric bundle structures on complex projective varieties

Abstract

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.

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

References in corpus (2)

• Cohomological characterizations of projective spaces and hyperquadrics
• On covering and quasi-unsplit families of rational curves