Gröbner Bases for Complex Grassmann Manifolds
Publications de l'Institut Mathématique, _N_S_90 (2011) no. 104, p. 23
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By Borel's description, integral cohomology of the complex Grassmann manifold $G_{k,n}$ is a polynomial algebra modulo a well-known ideal. A strong Gröbner basis for this ideal is obtained when $k=2$ and $k=3$.
Classification :
13P10 55R40
Keywords: Gröbner bases, complex Grassmannians, Chern classes
Keywords: Gröbner bases, complex Grassmannians, Chern classes
@article{PIM_2011_N_S_90_104_a2,
author = {Branislav I. Prvulovi\'c},
title = {Gr\"obner {Bases} for {Complex} {Grassmann} {Manifolds}},
journal = {Publications de l'Institut Math\'ematique},
pages = {23 },
year = {2011},
volume = {_N_S_90},
number = {104},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2011_N_S_90_104_a2/}
}
Branislav I. Prvulović. Gröbner Bases for Complex Grassmann Manifolds. Publications de l'Institut Mathématique, _N_S_90 (2011) no. 104, p. 23 . http://geodesic.mathdoc.fr/item/PIM_2011_N_S_90_104_a2/