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## On extensions of the Torelli map

### Abstract

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.Comment: 10 pages, 1 figur

Topics: Mathematics - Algebraic Geometry, 14E30, 14K10, 14H10
Year: 2011
OAI identifier: oai:arXiv.org:1104.3788