This article is cited in 1 paper

Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution

Yue Hu<sup>a

a</sup> 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.

UDC: 512.72

Received: 20.06.2017

DOI: 10.4213/faa3499

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

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