An unimodular lattice is a type of mathematical structure that arises in the context of lattice theory and algebraic geometry, particularly in the study of quadratic forms and integer lattices. Here are the key characteristics and definitions associated with unimodular lattices: 1. **Lattice**: A lattice in Euclidean space is a discrete subgroup of that space generated by a set of basis vectors.
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The integral Gram determinant has absolute value one, equivalently the lattice equals its bilinear-form dual. The K3 intersection lattice is an indefinite example.