Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution


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Abstract

A conjecture of Michael Finkelberg and Andrei Ionov is proved on the basis of a generalization of the Springer resolution and the Grauert–Riemenschneider vanishing theorem. As a corollary, it is proved that the coefficients of the multivariable version of Kostka functions introduced by Finkelberg and Ionov are nonnegative.

About the authors

Yue Hu

Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences

Author for correspondence.
Email: huyue@amss.ac.cn
China, Beijing

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