Universität zu Köln

Chirivì, Rocco, Costa Cesari, Martina, Fang, Xin and Littelmann, Peter ORCID: 0000-0003-0140-275X (2025). Combinatorial Seshadri stratifications on normal toric varieties. Journal of Algebra, 681. pp. 401-436. Elsevier. ISSN 0021-8693

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Abstract

We apply the theory of Seshadri stratifications to embedded toric varieties Xp ⊆ P (V ) associated with a normal lattice polytope P. The approach presented here is purely combina- torial and completely independent of [1]. In particular, we get a close connection between a certain class of triangulations of the polytope P, Seshadri stratifications of Xp arising from torus orbit closures, and the associated degenerate semi-toric varieties. In the last section we show that the approach here and the one in [1] produce the same quasi-valuations and hence the same degenerations of Xp.

Item Type:	Article
Creators:	Creators Email ORCID ORCID Put Code Chirivì, Rocco UNSPECIFIED UNSPECIFIED UNSPECIFIED Costa Cesari, Martina UNSPECIFIED UNSPECIFIED UNSPECIFIED Fang, Xin UNSPECIFIED UNSPECIFIED UNSPECIFIED Littelmann, Peter UNSPECIFIED https://orcid.org/0000-0003-0140-275X UNSPECIFIED
URN:	urn:nbn:de:hbz:38-804972
Identification Number:	10.1016/j.jalgebra.2025.05.017
Journal or Publication Title:	Journal of Algebra
Volume:	681
Page Range:	pp. 401-436
Number of Pages:	36
Date:	November 2025
Publisher:	Elsevier
ISSN:	0021-8693
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Institute of Computer Science
Subjects:	Mathematics
Uncontrolled Keywords:	Keywords Language Toric varieties ; Seshadri stratification ; Quasi-valuation ; Semi-toric degeneration English
['eprint_fieldname_oa_funders' not defined]:	Publikationsfonds UzK
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/80497