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Bioriented flags and resolutions of Schubert varieties. (arXiv:1810.05604v1 [math.AG])
来源于:arXiv
We use bi-oriented incidence relations in order to construct a Kempf-Laksov
type resolution for any Schubert variety of the complete flag manifold but also
an embedded resolution for any Schubert variety in the Grassmannian. These
constructions are alternatives to the celebrated Bott-Samelson resolutions. The
second process led to the introduction of singular flag varieties,
algebro-geometric objects that interpolate between the standard flag manifolds
and products of Grassmannians, but which are singular in general. The
surprising simple desingularization of a particular singular flag variety
produces an embedded resolution of the Schubert variety within the
Grassmannian. 查看全文>>