A triangulated \(K3\) surface with the minimum number of vertices

DOI10.1016/S0040-9383(99)00082-8zbMath0981.57011OpenAlexW2022127071WikidataQ127015177 ScholiaQ127015177MaRDI QIDQ5950612

Mario Casella, Wolfgang Kuehnel

Publication date: 2 January 2002

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0040-9383(99)00082-8

zbMATH Keywords

intersection formequivariant triangulationK3 surfaceminimal triangulation

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) (K3) surfaces and Enriques surfaces (14J28) Triangulating manifolds (57Q15) Equivariant PL-topology (57Q91) Software, source code, etc. for problems pertaining to manifolds and cell complexes (57-04)

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Hamiltonian submanifolds of regular polytopes ⋮ Cataloguing PL 4-manifolds by gem-complexity ⋮ Average Betti numbers of induced subcomplexes in triangulations of manifolds ⋮ Gem-induced trisections of compact PL 4-manifolds ⋮ Generalized Heawood numbers ⋮ Face numbers: the upper bound side of the story ⋮ On stellated spheres and a tightness criterion for combinatorial manifolds ⋮ Combinatorial Properties of theK3 Surface: Simplicial Blowups and Slicings ⋮ Random Discrete Morse Theory and a New Library of Triangulations ⋮ Lattice triangulations of \(\mathbb{E}^3 \) and of the 3-torus ⋮ On Walkup's class \(\mathcal K(d)\) and a minimal triangulation of \((S^3 \utimes S^1)^{\#3}\) ⋮ Stacked polytopes and tight triangulations of manifolds ⋮ Face enumeration-from spheres to manifolds ⋮ Socles of Buchsbaum modules, complexes and posets

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