Minimal Cohomology Classes and Jacobians

Mathematics – Algebraic Geometry

Scientific paper

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13 pages, Plain Tex 1.2

Scientific paper

We show that on the Jacobian $(JC,\theta)$ of a smooth curve $C$ of genus $g$, any effective cycle in $JC$ with cohomology class $\theta^d/d!$ is a translate of $W_{g-d}(C)$ or $-W_{g-d}(C)$. We then use this result to prove that for $1

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