Log homogeneous compactifications of some classical groups

Mathieu Huruguen

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arXiv · 1403.4337

Log homogeneous compactifications of some classical groups

Mathieu Huruguen

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Abstract

We generalize in positive characteristics some results of Bien and Brion on log homogeneous compactifications of a homogeneous space under the action of a connected reductive group. We also construct an explicit smooth log homogeneous compactification of the general linear group by successive blow-ups starting from a grassmannian. By taking fixed points of certain involutions on this compactification, we obtain smooth log homogeneous compactifications of the special orthogonal and the symplectic groups.

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BibTeX RIS

Mathieu Huruguen. 2014-03-18. Log homogeneous compactifications of some classical groups. https://arxiv.org/abs/1403.4337

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