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Log canonical thresholds of divisors on Grassmannians

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Abstract

Let L be the Plücker line bundle on the Grassmannian. Given D ∈ |kL|, we show that the log canonical threshold of D is at least . 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.

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Correspondence to Jun-Muk Hwang.

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Hwang, JM. Log canonical thresholds of divisors on Grassmannians. Math. Ann. 334, 413–418 (2006). https://doi.org/10.1007/s00208-005-0731-6

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  • DOI: https://doi.org/10.1007/s00208-005-0731-6

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