Journal article
The two lives of the Grassmannian
- Abstract:
- The real Grassmannian is both a projective variety (via Plücker 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 521.4KB, Terms of use)
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- Publisher copy:
- 10.1007/s44426-025-00007-x
Authors
+ Max Planck Institute for Mathematics in the Sciences
More from this funder
- Funder identifier:
- https://ror.org/00ez2he07
- Publisher:
- Springer Science and Business Media LLC
- Journal:
- Acta Universitatis Sapientiae Mathematica More from this journal
- Volume:
- 17
- Issue:
- 1
- Publication date:
- 2025-07-03
- DOI:
- EISSN:
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2066-7752
- ISSN:
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1844-6094
- Language:
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English
- Keywords:
- Pubs id:
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2310180
- UUID:
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uuid_d0d5914a-c151-4de0-afed-5e0d054c4dca
- Local pid:
-
pubs:2310180
- Source identifiers:
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W4412039838
- Deposit date:
-
2025-11-07
- ARK identifier:
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- Copyright date:
- 2025
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