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Singularities on flag spaces - MaRDI portal

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Singularities on flag spaces (Q2702815)

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scientific article
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English
Singularities on flag spaces
scientific article

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    13 March 2001
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    flag spaces
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    partially ordered set
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    singularities on flag spaces
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    Jacobi criterion
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    algebraic varieties
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    crown
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    Singularities on flag spaces (English)
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    The authors' aim is to generalize the results of a previous paper [\textit{M. Božek} and \textit{K. Drechsler}, Acta Math. Univ. Comen. 58/59, 135-148 (1991; Zbl 0760.06001)]. They generalize the classical concept of flag spaces replacing the determining linear order by a partial one. The new flag spaces are algebraic varieties. The main result is as follows: A flag space has singular points if and only if its partially ordered set contains a crown.
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