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Nadia Ott
Nadia Ott, University of Southern Denmark

The super period map and the projectedness of supermoduli space

In 2014, Donagi and Witten proved that supermoduli spaces of genus super Riemann surfaces are not projected for genus . In joint work with Ron Donagi, we show that is projected, for all genus , away from the so-called bad divisor. In other words, we show that the complement of is a projected open subscheme of . Furthermore, at least in genus and , we show that the super period map defines a projection .