IRMA -- Mathématique, Université Louis Pasteur, 7 rue René Descartes, 67084 Strasbourg Cedex, France ; Department of Mathematics, Boyd Graduate Studies Research Center, University of Georgia, Athens, Georgia 30602-7403
Abstract:
We prove the ampleness of the cotangent bundle of the intersection of two general translates of a theta divosor of the Jacobian of a general curve of genus . From this, we deduce the same result in a general, principally polarized abelian variety of dimension .