논문KCI 등재
Singularities of divisors on flag varieties via Hwang's product theorem
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We give an alternative proof of a recent result by B.~Pasquier stating that for a generalized flag variety $X=G/P$ and an effective $\QQ$-divisor $D$ stable with respect to a Borel subgroup the pair~\mbox{$(X,D)$} is Kawamata log terminal if and only if~\mbox{$\lfloor D\rfloor=0$}.
Abstract
We give an alternative proof of a recent result by B.~Pasquier stating that for a generalized flag variety $X=G/P$ and an effective $\QQ$-divisor $D$ stable with respect to a Borel subgroup the pair~\mbox{$(X,D)$} is Kawamata log terminal if and only if~\mbox{$\lfloor D\rfloor=0$}.
참고문헌 (7)
- M. Brion, "Algebraic groups and Lie groups", pp.21~34 (1997), Cambridge Univ. Press
- M. Brion, "Topics in cohomological studies of algebraic varieties, Trends Math.", pp.33~85 (2005), Birkhäuser
- I. A. Chel'tsov, "Log-canonical thresholds for nonsingular Fano three-folds", Uspekhi Mat. Nauk, 63(5), pp.73~180 (2008)
- J.-M. Hwang, "Log canonical thresholds of divisors on Grassmannians", Math. Ann, 334(2), pp.413~418 (2006)
- J.-M. Hwang, "Log canonical thresholds of divisors on Fano manifolds of Picard number 1", Compos. Math, 143(1), pp.89~94 (2007)
- J. Kollár, "Algebraic geometry-Santa Cruz 1995", pp.221~287 (1997), Amer. Math. Soc.
- B. Pasquier, "Klt singularities of horospherical pairs", Ann. Inst. Fourier (Grenoble), 66(5), pp.2157~2167 (2016)
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