Log canonical thresholds of divisors on Grassmannians

Abstract

Let L be the Plucker line bundle on the Grassmannian. Given D ∈ |kL|, we show that the log canonical threshold of D is at least Open image in new window . The main ingredients of the proof are Kapranov's result on the derived category of coherent sheaves on the Grassmannian, Nadel's vanishing theorem for multiplier ideal sheaves, and Demailly's vanishing theorem for vector bundles.