On extensions of the Torelli map

Mathematics – Algebraic Geometry

Scientific paper

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10 pages, 1 figure

Scientific paper

The divisors on $\bar{\operatorname{M}}_g$ that arise as the pullbacks of
ample divisors along any extension of the Torelli map to any toroidal
compactification of $\operatorname{A}_g$ form a 2-dimensional extremal face of
the nef cone of $\bar{\operatorname{M}}_g$, which is explicitly described.

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