Generalized Virtual Polytopes and Quasitoric Manifolds

DC Field	Value	Language
dc.contributor.author	Limonchenko, Ivan	en_US
dc.contributor.author	Monin, Leonid V.	en_US
dc.contributor.author	Khovanskii, Askold G.	en_US
dc.date.accessioned	2024-02-02T11:56:43Z	-
dc.date.available	2024-02-02T11:56:43Z	-
dc.date.issued	2022	-
dc.identifier.issn	0081-5438	-
dc.identifier.uri	http://researchrepository.mi.sanu.ac.rs/handle/123456789/5272	-
dc.description.abstract	We develop a theory of volume polynomials of generalized virtual polytopes based on the study of topology of affine subspace arrangements in a real Euclidean space. We apply this theory to obtain a topological version of the Bernstein–Kushnirenko theorem as well as Stanley–Reisner and Pukhlikov–Khovanskii type descriptions for the cohomology rings of generalized quasitoric manifolds.	en_US
dc.publisher	Springer Link	en_US
dc.relation.ispartof	Proceedings of the Steklov Institute of Mathematics	en_US
dc.title	Generalized Virtual Polytopes and Quasitoric Manifolds	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1134/S0081543822040095	-
dc.relation.firstpage	126	-
dc.relation.lastpage	149	-
dc.relation.volume	318	-
dc.description.rank	M23	-
item.cerifentitytype	Publications	-
item.openairetype	Article	-
item.grantfulltext	none	-
item.fulltext	No Fulltext	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
crisitem.author.orcid	0000-0002-2072-8475	-

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