ON THE EXISTENCE OF UNILATERAL, TERNARY, INTEGRAL QUADRATIC FORMS

A ternary, integral quadratic form is called unilateral if its associated orbifold Qf is orientable. Examples of unilateral forms f and their associated orbifolds Qf are given. The examples are selected to give credit to the conjecture that every form with square-free, prime determinant has a unilateral B-cover.