Universität zu Köln

Pang, X., Feigin, E., Fourier, G. and Makhlin, I (2019). Weighted PBW degenerations and tropical flag varieties. Commun. Contemp. Math., 21 (1). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6683

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Abstract

We study algebraic, combinatorial and geometric aspects of weighted Poincare-Birkhoff-Witt (PBW)-type degenerations of (partial) flag varieties in type A. These degenerations are labeled by degree functions lying in an explicitly defined polyhedral cone, which can be identified with a maximal cone in the tropical flag variety. Varying the degree function in the cone, we recover, for example, the classical flag variety, its abelian PBW degeneration, some of its linear degenerations and a particular toric degeneration.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Pang, X. UNSPECIFIED UNSPECIFIED UNSPECIFIED Feigin, E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Fourier, G. UNSPECIFIED UNSPECIFIED UNSPECIFIED Makhlin, I UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-158183
DOI:	10.1142/S0219199718500165
Journal or Publication Title:	Commun. Contemp. Math.
Volume:	21
Number:	1
Date:	2019
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-6683
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TORIC DEGENERATIONS; FILTRATION; MODULES; BASES Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/15818