In this paper we show that any two positive definite integer unimodular quadratic forms have a common sublattice of codimension 2. Moreover, any such form is equivalent to a semi-normal form with at ...

Let π: S → B be an elliptic surface with a section σ: B → S. Let L-1 → B be the normal bundle of σ(B) in S, and let $W = P(L^{\otimes 2} \oplus L^{\otimes 3 ...

Everyone knows and loves the first three normal forms. We go through the process of normalization to remove redundancies in our data structures. But the redundancies we remove have nothing to do with ...