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Irelli, G. Cerulli, Fang, X., Feigin, E., Fourier, G. and Reineke, M. (2017). Linear degenerations of flag varieties. Math. Z., 287 (1-2). S. 615 - 655. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823

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Abstract

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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Irelli, G. Cerulli UNSPECIFIED UNSPECIFIED UNSPECIFIED Fang, X. UNSPECIFIED UNSPECIFIED UNSPECIFIED Feigin, E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Fourier, G. UNSPECIFIED UNSPECIFIED UNSPECIFIED Reineke, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-217187
DOI:	10.1007/s00209-016-1839-y
Journal or Publication Title:	Math. Z.
Volume:	287
Number:	1-2
Page Range:	S. 615 - 655
Date:	2017
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1432-1823
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUIVER GRASSMANNIANS; MODULES; BASES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21718