Geodesic
Log homogeneous compactifications of some classical groups
Documenta mathematica, Tome 20 (2015), pp. 1-35

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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.
DOI : 10.4171/dm/484
Classification : 14L35, 14M12, 14M17, 14M25 
Mathieu Huruguen. Log homogeneous compactifications of some classical groups. Documenta mathematica, Tome 20 (2015), pp. 1-35. doi: 10.4171/dm/484
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     author = {Mathieu Huruguen},
     title = {Log homogeneous compactifications of some classical groups},
     journal = {Documenta mathematica},
     pages = {1--35},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/484},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/484/}
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