The Height of Two-Dimensional Cohomology Classes of Complex Flag Manifolds
Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 498-502
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For a parabolic subgroup H of the general linear group G = Gl(n, C), we characterize the Kähler classes of G/H and give a formula for the height of any two-dimensional cohomology class. As an application, we classify the automorphisms of the cohomology ring of G/H when this ring is generated by two-dimensional classes.
Mots-clés :
57T15, Secondary 53C55, Flag manifold, height, Kähler manifold
Broughton, S. Allen; Hoffman, Michael; Homer, William. The Height of Two-Dimensional Cohomology Classes of Complex Flag Manifolds. Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 498-502. doi: 10.4153/CMB-1983-080-3
@article{10_4153_CMB_1983_080_3,
author = {Broughton, S. Allen and Hoffman, Michael and Homer, William},
title = {The {Height} of {Two-Dimensional} {Cohomology} {Classes} of {Complex} {Flag} {Manifolds}},
journal = {Canadian mathematical bulletin},
pages = {498--502},
year = {1983},
volume = {26},
number = {4},
doi = {10.4153/CMB-1983-080-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-080-3/}
}
TY - JOUR AU - Broughton, S. Allen AU - Hoffman, Michael AU - Homer, William TI - The Height of Two-Dimensional Cohomology Classes of Complex Flag Manifolds JO - Canadian mathematical bulletin PY - 1983 SP - 498 EP - 502 VL - 26 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-080-3/ DO - 10.4153/CMB-1983-080-3 ID - 10_4153_CMB_1983_080_3 ER -
%0 Journal Article %A Broughton, S. Allen %A Hoffman, Michael %A Homer, William %T The Height of Two-Dimensional Cohomology Classes of Complex Flag Manifolds %J Canadian mathematical bulletin %D 1983 %P 498-502 %V 26 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-080-3/ %R 10.4153/CMB-1983-080-3 %F 10_4153_CMB_1983_080_3
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