2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150109Theta functions of level n on the principally polarised Prym varieties of an algebraic curve are dual to sections of the orthogonal theta line bundle on the moduli space of Spin(n)-bundles over the curve. As a by-product of our computations we also note that when n is odd the pfaffian line bundle on moduli space has a basis of sections labelled by the even theta characteristics of the curve.47 pages, LaTeXAlgebraic Geometrytext