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arxiv: math/9911195 · v1 · submitted 1999-11-24 · 🧮 math.NT · math.GR

The Leech lattice and other lattices

R.E.Borcherds This is my paper
classification 🧮 math.NT math.GR
keywords latticesdimensionsunimodularclassificationconstructioncontainsformsincluding
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This is an unpublished manuscript written in 1983-4. It contains several results about lattices (=integral quadratic forms) including the classification of the unimodular lattices in dimensions up to 25 and the construction of unimodular lattices with no roots in dimensions 26 and 27.

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    math.AG 2025-04 unverdicted novelty 6.0

    Introduces well-clipped cones to prove the movable cone conjecture for finite quotients of Calabi-Yau type varieties and Galois descent for abelian varieties over perfect fields.