Supercell partitions of flag superspaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1990 English Publisher:Springer Science and Business Media LLCJournal:Journal of Soviet Mathematics, volume 51, pages 2,083-2,108 (issn: 0090-4104, eissn: 1573-8795,

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Authors: Voronov, A. A.; Manin, Yu. I.;

doi: 10.1007/bf01098185

Supercell partitions of flag superspaces

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Abstract

A natural partition of flag superspaces into Schubert supercells indexed by Weyl supergroups is described. The closures and the singularities of these Schubert cells are closely studied. To resolve these singularities the authors generalize the classical Bott-Samelson construction.

Keywords

Schubert supercells, Complex supergeometry, Supermanifolds and graded manifolds, flag superspaces, Grassmannians, Schubert varieties, flag manifolds, Supervarieties

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