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arXiv · 2604.00751

Truncated Grassmannians, blow-ups along Schubert varieties and collineations

Evgeny Feigin
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Abstract

Truncated Grassmannians are defined as closures of orbits of abelian unipotent groups acting on the degree truncations of projectivized wedge powers. We show that such truncations in a more general setup show up in the description of the blow-ups of general flag varieties along Schubert subvarieties. We work out the case of Grassmannians in detail. In particular, we show that our blow-ups are members of a larger family of varieties projecting onto Grassmannians, and describe the fibers of these projections via the spaces of collineations.

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Evgeny Feigin. 2026-04-01. Truncated Grassmannians, blow-ups along Schubert varieties and collineations. https://arxiv.org/abs/2604.00751

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