EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 90(105), pp. 23–46 (2011)

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GRÖBNER BASES FOR COMPLEX GRASSMANN MANIFOLDS

Branislav I. Prvulovic

Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

Abstract: 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 $k=3$.

Keywords: Gröbner bases; complex Grassmannians; Chern classes

Classification (MSC2000): 13P10; 55R40

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Electronic fulltext finalized on: 16 Nov 2011. This page was last modified: 30 Nov 2011.

© 2011 Mathematical Institute of the Serbian Academy of Science and Arts
© 2011 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition