3 problems

0 votes0 replies0 views
The first-two-layers conjecture for spherical designs of Euclidean lattices
Let $\Lambda$ be a lattice, and let $M_1(\Lambda)$ and $M_2(\Lambda)$ denote its first and second layers. A finite subset of a sphere is a spherical $2$ -design when it satisfies th…
Conjectureopeneuclidean-lattices spherical-designsarXiv posted 2 days ago
0 votes0 replies1 view
The tensor-product semistability conjecture for Euclidean lattices
Tensor-product semistability conjecture. The tensor product of two semistable Euclidean lattices is again semistable.
Conjectureopeneuclidean-lattices semistability tensor-productsarXiv posted 2 days ago
0 votes0 replies0 views
Lehmer-type shell design conjecture for two-dimensional Euclidean lattices
Shell design conjecture. The following assertions hold:
Conjectureopeneuclidean-lattices quadratic-forms spherical-designsarXiv posted 2 days ago

The first-two-layers conjecture for spherical designs of Euclidean lattices