title: Algebro-geometric Schrödinger operators in many dimensions.
abstract: We collect known results about the Schrödinger operators L=-Delta+u(x), generalizing to higher dimension those algebro-geometric operators L=-d2/dx2+u(x) with rational, trigonometric and elliptic potential which appear in the finite-gap theory.
authors.affiliation: School of Mathematics, University of Leeds, Leeds, UK. o.chalykh@maths.leeds.ac.uk
authors.forename: Oleg
authors.initials: O
authors.lastname: Chalykh