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.
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Araujo, C. Identifying quadric bundle structures on complex projective varieties. Geom Dedicata 139, 289–297 (2009). https://doi.org/10.1007/s10711-008-9324-3
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DOI: https://doi.org/10.1007/s10711-008-9324-3