Journal
MATHEMATISCHE ZEITSCHRIFT
Volume 287, Issue 1-2, Pages 615-654Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00209-016-1839-y
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Funding
- Alexander von Humboldt Foundation
- DFG [1388]
- RSF-DFG [16-41-01013]
- italian FIRB program Perspectives in Lie Theory [RBFR12RA9W]
- Russian Science Foundation [16-41-01013] Funding Source: Russian Science Foundation
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Linear degenerate flag varieties are degenerations of flag varieties as quiver Grassmannians. For type A flag varieties, we obtain characterizations of flatness, irreducibility and normality of these degenerations via rank tuples. Some of them are shown to be isomorphic to Schubert varieties and can be realized as highest weight orbits of partially degenerate Lie algebras, generalizing the corresponding results on degenerate flag varieties. To study normality, cell decompositions of quiver Grassmannians are constructed in a wider context of equioriented quivers of type A.
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