Gröbner bases for (partial) flag manifolds
| Autor: | Branislav I. Prvulović, Marko Radovanović, Zoran Z. Petrović |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Chern class Mathematics::Commutative Algebra Flag (linear algebra) 010102 general mathematics 010103 numerical & computational mathematics Basis (universal algebra) 16. Peace & justice 01 natural sciences Cohomology Computational Mathematics Gröbner basis Generalized flag variety Multiplication Ideal (ring theory) 0101 mathematics Mathematics |
| Zdroj: | Journal of Symbolic Computation. 101:90-108 |
| ISSN: | 0747-7171 |
| Popis: | For an arbitrary complex (partial) flag manifold F, a Grobner basis for the ideal which (in the Borel picture) determines the cohomology algebra H ⁎ ( F ; Z ) is obtained. This Grobner basis is used to derive multiplication rules for a convenient additive basis of H ⁎ ( F ; Z ) given in terms of Chern classes of the canonical bundles over F. The analogous Grobner bases related to the mod 2 cohomology of real flag manifolds are also presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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