Klt singularities of horospherical pairs
Copyright policy )Klt singularities of horospherical pairs
Let X be a horospherical G -variety and let D be an effective ℚ -divisor of X that is stable under the action of a Borel subgroup B of G and such that D + K X is ℚ -Cartier. We prove, using Bott–Samelson resolutions, that the pair ( X , D ) is klt if and only if ⌊ D ⌋ = 0 .
[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Grassmannians, Schubert varieties, flag manifolds, klt singularities, klt pairs, Mathematics - Algebraic Geometry, horospherical varieties, flag varieties, FOS: Mathematics, Compactifications; symmetric and spherical varieties, Minimal model program (Mori theory, extremal rays), Bott-Samelson varieties, Algebraic Geometry (math.AG), Bott-Samelson resolutions
[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Grassmannians, Schubert varieties, flag manifolds, klt singularities, klt pairs, Mathematics - Algebraic Geometry, horospherical varieties, flag varieties, FOS: Mathematics, Compactifications; symmetric and spherical varieties, Minimal model program (Mori theory, extremal rays), Bott-Samelson varieties, Algebraic Geometry (math.AG), Bott-Samelson resolutions
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