[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b160756

SINGULARITIES OF DIVISORS ON FLAG VARIETIES VIA HWANG'S PRODUCT THEOREM

Smirnov, Evgeny (Faculty of Mathematics and Laboratory of Algebraic Geometry and its Applications National Research University Higher School of Economics)

Publication Information

Bulletin of the Korean Mathematical Society / v.54, no.5, 2017 , pp. 1773-1778 More about this Journal

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 ${\mathbb{Q}}-divisor$ D stable with respect to a Borel subgroup the pair (X, D) is Kawamata log terminal if and only if ${\lfloor}D{\rfloor}=0$ .

Keywords

klt pair; flag variety; log canonical threshold;

Citations & Related Records

Reference

1	M. Brion, Curves and divisors in spherical varieties, In Algebraic groups and Lie groups, volume 9 of Austral. Math. Soc. Lect. Ser., pages 21-34. Cambridge Univ. Press, Cambridge, 1997.
2	M. Brion, Lectures on the geometry of ag varieties, In Topics in cohomological studies of algebraic varieties, Trends Math., pages 33-85. Birkhauser, Basel, 2005.
3	I. A. Chel'tsov and K. A. Shramov, Log-canonical thresholds for nonsingular Fano three-folds, with an appendix by J.-P.Demailly, Uspekhi Mat. Nauk 63 (2008), no. 5, 73-180.
4	J.-M. Hwang, Log canonical thresholds of divisors on Grassmannians, Math. Ann. 334 (2006), no. 2, 413-418. DOI
5	J.-M. Hwang, Log canonical thresholds of divisors on Fano manifolds of Picard number 1, Compos. Math. 143 (2007), no. 1, 89-94. DOI
6	J. Kollar, Singularities of pairs, In Algebraic geometry-Santa Cruz 1995, volume 62 of Proc. Sympos. Pure Math., pages 221-287. Amer. Math. Soc., Providence, RI, 1997.
7	B. Pasquier, Klt singularities of horospherical pairs, Ann. Inst. Fourier (Grenoble) 66 (2016), no. 5, 2157-2167. DOI