Generalized virtual polytopes and quasitoric manifolds
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Publication:2099705
DOI10.1134/S0081543822040095zbMath1503.52037arXiv2204.00114MaRDI QIDQ2099705
Leonid Monin, Ivan Limonchenko, A. G. Khovanskii
Publication date: 18 November 2022
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.00114
Stanley-Reisner ringmoment-angle complexquasitoric manifoldmulti-fanmulti-polytopevirtual polytopearrangement of affine hyperplanesstar-shaped sphere
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Discrete geometry (52C99)
Cites Work
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- \(p\)-local stable splitting of quasitoric manifolds
- Volume polynomials and duality algebras of multi-fans
- On toric generators in the unitary and special unitary bordism rings
- Examples of quasitoric manifolds as special unitary manifolds
- Convex polytopes, Coxeter orbifolds and torus actions
- On the cohomology of torus manifolds
- Quasitoric manifolds over a product of simplices
- Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space
- Unitary toric manifolds, multi-fans and equivariant index
- On simple polytopes
- Theory of multi-fans
- Calabi Yau hypersurfaces and SU-bordism
- \(p\)-local stable cohomological rigidity of quasitoric manifolds
- On manifolds defined by 4-colourings of simple 3-polytopes
- An analogue of the Hodge-Riemann relations for simple convex polytopes
- Complex-analytic structures on moment-angle manifolds
- Cohomological rigidity of manifolds defined by 3-dimensional polytopes
- Topological toric manifolds
- Toric objects associated with the dodecahedron
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