On extensions of the Torelli map

  • Angela Gibney

    University of Georgia, Athens, USA
On extensions of the Torelli map cover
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The divisors on Mg\overline{\operatorname {M}}_g that arise as the pullbacks of ample divisors along any extension of the Torelli map to any toroidal compactification of Ag\operatorname{A}_g form a 2-dimensional extremal face of the nef cone of Mg\overline{\operatorname {M}}_g, which is explicitly described.