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Funktsional'nyi Analiz i ego Prilozheniya, 2018, Volume 52, Issue 3, Pages 66–78
DOI: https://doi.org/10.4213/faa3499 (Mi faa3499) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution

Yue Hua

a University of Chinese Academy of Sciences, Beijing
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DOI: https://doi.org/10.4213/faa3499
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.
Received: 20.06.2017
English version:
Functional Analysis and Its Applications, 2018, Volume 52, Issue 3, Pages 214–223
DOI: https://doi.org/10.1007/s10688-018-0230-7
Bibliographic databases:
Document Type: Article
UDC: 512.72
Language: Russian
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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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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