Groebner bases for real flag Manifold F(1, 1, 1, m − 3)

The cohomology of the real flag manifold is known to be isomorphic to a polynomial algebra modulo certain ideal. In this paper, the Groebner bases for these ideals are obtained in the case of the real flag manifold . We further apply the reduced Groebner bases to compute the height of the cohomology classes and determine which of the classes vanish.

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Publication Details

Journal
Afrischolar Discovery
Published
2025-02-14
DOI
https://doi.org/10.60787/eaued-jms.vol1no1.11
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

Groebner bases for real flag Manifold F(1, 1, 1, m − 3)

Afrischolar Discovery
Polynomial and algebraic computation
article

Groebner bases for real flag Manifold F(1, 1, 1, m − 3)

article en

Abstract

The cohomology of the real flag manifold is known to be isomorphic to a polynomial algebra modulo certain ideal. In this paper, the Groebner bases for these ideals are obtained in the case of the real flag manifold . We further apply the reduced Groebner bases to compute the height of the cohomology classes and determine which of the classes vanish.

Afrischolar Discovery
University of Ibadan (NG)
Reduced inequalities
Openalex Percentile: Top 39%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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Groebner bases for real flag Manifold F(1, 1, 1, m − 3) · Afrischolar Discovery (2025) | TGRS Research Map | TGRS