Groebner Bases and Nonembeddings of Some Flag Manifolds

Petrović, Z; Prvulović, Branislav I.

doi:10.1017/s1446788713000657

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A Gröbner Basis For the Cohomology Algebra1

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“…Although this description is simple enough, concrete calculations in the cohomology is often very difficult to perform (see for example [8,12]). In this paper we show that having a Gröbner basis for the ideal I j,d,n can be very useful for cup-length calculations (see also [10]).…”

Section: A Gröbner Basis For the Cohomology Algebramentioning

confidence: 92%

On the Z2-cohomology cup-length of some real flag manifolds

Radovanović

2016

Filomat

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In this paper we discuss two different techniques for calculating the Z2-cohomology cup-length - one based on fiberings and a result of Horanska and Korbas, and the other based on Gr?bner bases. We use these techniques to obtain Z2-cohomology cup-length or bounds for the Z2-cohomology cup-length of some of the real flag manifolds F(1,...,1,2...,2,n). [Projekat Ministarstva nauke Republike Srbije, br. 174008]

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Section: A Gröbner Basis For the Cohomology Algebramentioning

confidence: 92%