Dimensions of multi-fan duality algebras

DOI10.2969/jmsj/81688168zbMath1453.13066arXiv1607.03889OpenAlexW2991892723MaRDI QIDQ2004916

Anton A. Ayzenberg

Publication date: 7 October 2020

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03889

zbMATH Keywords

Macaulay dualitymulti-fanmulti-polytopevolume polynomialbistellar movesPoincaré duality algebrainvariants of 3-dimensional pseudomanifoldsvector coloring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Length, area, volume, other geometric measure theory (28A75) Graded rings (13A02) Algebraic topology of manifolds (57N65) Polyhedral manifolds (52B70) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

MultiFans

Uses Software

• GAP
• simpcomp
• GitHub

Cites Work

• Volume polynomials and duality algebras of multi-fans
• P.l. homeomorphic manifolds are equivalent by elementary shellings
• Unitary toric manifolds, multi-fans and equivariant index
• Theory of multi-fans
• Face numbers of pseudomanifolds with isolated singularities
• Polytope Volume Computation
• Gorenstein rings through face rings of manifolds
• Invariants of piecewise-linear 3-manifolds
• An analogue of the Hodge-Riemann relations for simple convex polytopes
• simpcomp
• Unnamed Item
• Unnamed Item

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