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Funktsional. Anal. i Prilozhen., 2018, Volume 52, Issue 3, Pages 66–78 (Mi faa3499)  

Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution

Yue Hua

a University of Chinese Academy of Sciences, Beijing

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.

Keywords: Kostka-Shoji polynomials, cohomology vanishing, quivers, Lusztig convolution diagram.

DOI: https://doi.org/10.4213/faa3499

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English version:
Functional Analysis and Its Applications, 2018, 52:3, 214–223

Bibliographic databases:

UDC: 512.72
Received: 20.06.2017

Citation: Yue Hu, “Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution”, Funktsional. Anal. i Prilozhen., 52:3 (2018), 66–78; Funct. Anal. Appl., 52:3 (2018), 214–223

Citation in format AMSBIB
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\pages 66--78
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