# The nef cone of toroidal compactifications of ${\\cal A}\_4$

Source: [The nef cone of toroidal compactifications of ${\\cal A}\_4$](<https://www.sota2.com/research/paper/68fa4cac1e209131ce94dfe4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T08:52:16.070Z

Authors: K. Hulek, G.K. Sankaran

Published: 2002-03-22T17:23:25.000Z

## Abstract

We determine the cone of nef divisors on the Igusa and Voronoi compactifications of the moduli space of principally polarised abelian 4-folds. We also show that the canonical bundle on the Igusa compactification of A\_4(n) is ample for n at least 3. Analogous results for A\_2 and A\_3 were earlier obtained by the first author but the case of A\_4 is far less simple.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0203238>)

[PDF](<https://arxiv.org/pdf/math/0203238.pdf>)