Geodesic
Green functions via hyperbolic localization
Documenta mathematica, Tome 16 (2011), pp. 869-884
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Let G be a reductive algebraic group, with nilpotent cone N and flag variety B. We construct an exact functor from perverse sheaves on N to locally constant sheaves on B, and we use it to study Ext-groups and stalks of simple perverse sheaves on N in terms of the cohomology of B.
DOI : 10.4171/dm/353
Classification : 20G05, 32S60
Mots-clés : perverse sheaves, nilpotent cone, hyperbolic localization 
@article{10_4171_dm_353,
     author = {Pramod N. Achar},
     title = {Green functions via hyperbolic localization},
     journal = {Documenta mathematica},
     pages = {869--884},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/353},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/353/}
}
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%J Documenta mathematica
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Pramod N. Achar. Green functions via hyperbolic localization. Documenta mathematica, Tome 16 (2011), pp. 869-884. doi: 10.4171/dm/353

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