On the universal abelian variety of dimension 4

Details On the universal abelian variety of dimension 4 On the universal abelian variety of dimension 4

2007-11-25

arxiv.org/abs/0711.3890v2

Mathematics

Algebraic Geometry

Referee's version, appearing on Contemporary Math. vol. 465 (2008)

Scientific paper

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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