
arXiv: 1607.07779
We study global deformations of certain projective bundles over projective spaces. We show that any projective global deformation of a projective bundle over $\bP^1$ carries the structure of a projective bundle over some projective space. Furthermore, we construct examples in arbitrary dimension $\ge 3$ of almost homogeneous Fano projective bundles over $\bP^2$ which can be globally deformed to non-almost homogeneous manifolds.
13 pages
Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG)
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