On the universal abelian variety of dimension 4
classification
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abelianuniversaldimensionpolarizedprincipallyvarietiesvarietyalgebraically
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Let A be the moduli space of principally polarized abelian varieties of dimension 4 over an algebraically closed field k of characteristic different from 2,3. It is proved that the universal principally polarized abelian variety over A, as well as the universal theta divisor over A, are unirational varieties.
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