Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution

Yue Hu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)214-223
Number of pages10
JournalFunctional Analysis and its Applications
Volume52
Issue number3
DOIs
Publication statusPublished - 1 Jul 2018
Externally publishedYes

Keywords

  • cohomology vanishing
  • Kostka–Shoji polynomials
  • Lusztig convolution diagram
  • quivers

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