Log homogeneous compactifications of some classical groups

  • Mathieu Huruguen

    Department of Mathematics University of British Columbia 1984 Mathematics Road Vancouver, BC, V6T 1Z2, Canada
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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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Mathieu Huruguen, Log homogeneous compactifications of some classical groups. Doc. Math. 20 (2015), pp. 1–35

DOI 10.4171/DM/484