Singular Improper Affine Spheres from a given Lagrangian Submanifold

Marcos Craizer, Wojciech Domitrz, Pedro de M Rios

Given a Lagrangian submanifold $L$ of the affine symplectic $2n$-space, one can canonically and uniquely define a center-chord and a special improper affine sphere of dimension $2n…