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arXiv · 1607.07779

Global deformations of certain rational almost homogeneous projective bundles

Florian Schrack
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Abstract

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.

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Florian Schrack. 2016-07-26. Global deformations of certain rational almost homogeneous projective bundles. https://arxiv.org/abs/1607.07779

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