The Two Lives of the Grassmannian
Not on the map. Why?
Abstract (arXiv)
The real Grassmannian is both a projective variety (via Pl"ucker coordinates) and an affine variety (via orthogonal projections). We connect these two representations, and we develop the commutative algebra of the latter variety. We introduce the squared Grassmannian, and we study applications to determinantal point processes in statistics.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 8 Jan 2024.
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