Canonical blow-ups of Grassmannians II
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math.AG
math.CV
keywords
grassmanniansalgebraicapplicationassociatedblow-upsblowingcanonicalcertain
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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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