Geodesic
Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 3, pp. 66-78

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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
Mots-clés : quivers, Lusztig convolution diagram. 
@article{FAA_2018_52_3_a5,
     author = {Yue Hu},
     title = {Higher {Cohomology} {Vanishing} of {Line} {Bundles} on {Generalized} {Springer} {Resolution}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {66--78},
     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2018_52_3_a5/}
}
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Yue Hu. Higher Cohomology Vanishing of Line Bundles on Generalized Springer Resolution. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 3, pp. 66-78. http://geodesic.mathdoc.fr/item/FAA_2018_52_3_a5/