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The universal abelian variety of dimension five and the geometry of A_6

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Gavril Farkas (HU Berlin) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When Jun 11, 2015
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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It is well-known that the boundary divisor of the moduli space A_g of principally polarized abelian varieties of dimension g is isomorphic to the universal Kummer variety in dimension g-1. I will discuss joint work with Verra, in which we establish a structure result for the universal abelian five-fold in terms of discriminant curves of conic bundles over a del Pezzo surface. This gives a very simple unirational parametrization of the boundary divisor of A_6 and a lower bound for the slope of this moduli space.