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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Ampleness and connectedness in complex $ G/P$


Author: Norman Goldstein
Journal: Trans. Amer. Math. Soc. 274 (1982), 361-373
MSC: Primary 32M10; Secondary 14M17
DOI: https://doi.org/10.1090/S0002-9947-1982-0670938-2
MathSciNet review: 670938
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Abstract: This paper determines the "ampleness" of the tangent bundle of the complex homogeneous space, $ G/P$, by calculating the maximal fibre dimension of the desingularization of a nilpotent subvariety of the Lie algebra of $ G$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1982-0670938-2
Keywords: Ampleness of tangent bundle, Lefschetz and connectedness theorems, desingularization of unipotent variety, length function of Weyl group
Article copyright: © Copyright 1982 American Mathematical Society