## Abstract

Let

*X*denote an equivariant embedding of a connected reductive group*G*over an algebraically closed field*k*. Let*B*denote a Borel subgroup of*G*and let*Z*denote a*BxB*-orbit closure in*X*. When the characteristic of*k*is positive and*X*is projective we prove that*Z*is globally*F*-regular. As a consequence,*Z*is normal and Cohen-Macaulay for arbitrary*X*and arbitrary characteristics. Moreover, in characteristic zero it follows that*Z*has rational singularities. This extends earlier results by the second author and M. Brion.Original language | English |
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Number of pages | 20 |

Publication status | Published - 2005 |

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