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Deep hole lattices and isogenies of elliptic curves (Lenny Fukshansky, CMC)
Deep hole lattices and isogenies of elliptic curves (Lenny Fukshansky, CMC)
For a lattice L in the plane, we define the affiliated deep hole lattice H(L) to be spanned by a shortest vector of L and the furthest removed vector from the lattice contained in the triangle with sides corresponding to the shortest basis vectors. We study the geometric and arithmetic properties of deep hole lattices, […]