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The complex of maximal lattice free simplices

✍ Scribed by Imre Bárány; Roger Howe; Herbert E. Scarf


Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
575 KB
Volume
66
Category
Article
ISSN
0025-5610

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📜 SIMILAR VOLUMES


On the Maximal Width of Empty Lattice Si
✍ Christian Haase; Günter M. Ziegler 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 116 KB

We construct d-dimensional empty lattice simplices of arbitrarily high volume from (d -1)dimensional ones, while preserving the lattice width. In particular, we give an example of infinitely many empty 4-simplices of width 2.

On Simplicity of the Maximal Eigenvalue
✍ Bojan Kuzma 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 81 KB

It is shown that a maximal eigenvalue of a rank-one perturbed, compact, self-adjoint operator is automatically simple, if the norm of perturbation is large enough.