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In recent years there has been considerable interest in understanding the local positivityof ample line bundles on algebraic varieties. Seshadri constants, introduced by Demailly[4], emerged as a natural measure of the local positivity of a line bundle. These invariantsare very hard to control and their exact value is known only in very few cases.Let (X; L) be an n-dimensional polarized variety. Then&quot;(L; x) = def infC3xL:Cmult x Cis the Seshadri constant of L at x 2...

Local positivity of principally polarized abelian threefolds