The Root Lattice $$A_{2}$$ in the Construction of Substitution Tilings and Singular Hypersurfaces
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Publication:4610000
DOI10.1007/978-3-319-56932-1_7zbMath1396.14034OpenAlexW2736607968MaRDI QIDQ4610000
Publication date: 5 April 2018
Published in: Applications of Computer Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-56932-1_7
Computational aspects of algebraic surfaces (14Q10) Singularities of surfaces or higher-dimensional varieties (14J17) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Hypersurfaces and algebraic geometry (14J70) Root systems (17B22)
Related Items (3)
Calabi-Yau threefolds with small Hodge numbers associated with a one-parameter family of polynomials ⋮ Deltoid tangents with evenly distributed orientations and random tilings ⋮ Singular and Calabi-Yau varieties linked with billiard trajectories and diffusion operators
Uses Software
Cites Work
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- A construction of algebraic surfaces with many real nodes
- Randomness and topological invariants in pentagonal tiling spaces
- Substitutions with vanishing rotationally invariant first cohomology
- New examples of threefolds with \(c_ 1=0.\) (With appendix by B. van Geemen)
- Random tilings of spherical 3-manifolds
- Horikawa surfaces with maximal Picard numbers
- Double solids
- A construction of inflation rules based on \(n\)-fold symmetry
- Modularity of the Consani-Scholten quintic. With an appendix by José Burgos Gil and Ariel Pacetti
- A computer search for planar substitution tilings with \(n\)-fold rotational symmetry
- Modular Calabi-Yau threefolds
- Modularity of Calabi–Yau Varieties: 2011 and Beyond
- COMPOSITION OF INFLATION RULES FOR APERIODIC STRUCTURES WITH NINE-FOLD SYMMETRY
- On modularity of rigid and nonrigid Calabi-Yau varieties associated to the Root Lattice A4
- A Singular Introduction to Commutative Algebra
- Arrangements of Lines with a Large Number of Triangles
- Some examples of algebraic surfaces
- PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE
- Tschebyscheffpolynome in mehreren Variablen.
- Quasicrystal Tilings with Nine-Fold and Fifteen-Fold Symmetries and Their Bragg Spectra
- Generalized Chebyshev Polynomials Associated with Affine Weyl Groups
- Threefolds from Solutions of a Partial Differential Equation
- CONFIGURATIONAL ENTROPY FOR STONE-INFLATION HEXAGONAL AND OCTAGONAL PATTERNS
- Non-periodic tessellations with unit and non-unit Pisot inflation factors
- Arrangements of Real Lines and Surfaces withAandDSingularities
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