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Canonical blow-ups of Grassmannians II

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arxiv 2310.17367 v1 pith:ZT5TH3GM submitted 2023-10-26 math.AG math.CV

classification math.AGmath.CV
keywords grassmanniansalgebraicapplicationassociatedblow-upsblowingcanonicalcertain
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abstract

We give a linear algebraic construction of the Lafforgue spaces associated to the Grassmannians $G(2,n)$ by blowing up certain explicitly defined monomial ideals, which sharpens and generalizes a result of Faltings. As an application, we provide a family of homogeneous varieties with high complexity and with nice compactifications, which exhibits the notion of homeward compactification introduced in our previous work in a non-spherical setting.

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