Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution
- Authors: Hu Y.1
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Affiliations:
- Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences
- Issue: Vol 52, No 3 (2018)
- Pages: 214-223
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234508
- DOI: https://doi.org/10.1007/s10688-018-0230-7
- ID: 234508
Cite item
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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