The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Chow quotients of Grassmannians. I
Abstract
Chapter 0. Chow quotients.0.1.Chow varieties and Chow quotients.0.2.Torus action on a projective space: secondary polytopes.0.3.Structure of cycles from the Chow quotient.0.4.Relation to Mumford quotients.0.5.Hilbert quotients (the Bialynicki-Birula-Sommese construction).Chapter 1. Generalized Lie complexes.1.1.Lie complexes and the Chow quotient of Grassmannian.1.2.Chow strata and matroid decompositions of hypersimplex.1.3.An example: matroid decompositions of the hypersimplex ∆(2, n).1.4.Relation to the secondary variety for the product of two simplices.1.5.Relation to Hilbert quotients.1.6.The (hyper-) simplicial structure on the collection of G(k, n)//H.Chapter 2. Projective configurations and the Gelfand-MacPherson isomorphism.2.1.Projective configurations and their Chow quotient.2.2.The Gelfand-MacPherson correspondence.2.3.Duality (or association).2.4.Gelfand-MacPherson correspondence and Mumford quotients.Chapter 3. Visible contours of (generalized) Lie complexes and Veronese varieties.
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Metadata
- Authors
- Kapranov, M.
- Venue
- ADVSOV
- Publisher
- American Mathematical Society
- Published
- 1993-08-18
- Pages
- 29-110
- ISSN
- 1051-8037 (ISSN-L)
- 2472-4912
- OpenAlex
- W2962988534
- Cited by
- 308
- References
- 14
- Type
- other
- Language
- en
- Open access
- closed
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