Authors: | Limonchenko, Ivan Monin, Leonid V. Khovanskii, Askold G. |
Title: | Generalized Virtual Polytopes and Quasitoric Manifolds | Journal: | Proceedings of the Steklov Institute of Mathematics | Volume: | 318 | First page: | 126 | Last page: | 149 | Issue Date: | 2022 | Rank: | M23 | ISSN: | 0081-5438 | DOI: | 10.1134/S0081543822040095 | 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. |
Publisher: | Springer Link |
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