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Ampleness of intersections of translates of theta divisors in an abelian fourfold
Authors:O Debarre  E Izadi
Institution: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 $ 4$. From this, we deduce the same result in a general, principally polarized abelian variety of dimension $ 4$.

Keywords:Ample cotangent bundle  abelian variety  algebraic surface  complete intersection  
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