Certain relative quadric hypersurfaces in 3-dimensional projective space bundles over a projective curve

Author: Takahashi Tomokuni  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.154, Iss.1, 2011-10, pp. : 183-206

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Abstract

We classify the certain type of relative quadric hypersurfaces of 3-dimensional projective space bundles over a projective line or an elliptic curve whose fiber is the direct product of 2 projective lines.