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

K. Hulek; G. K. Sankaran

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

K. Hulek·G. K. Sankaran

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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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BibTeX RIS

K. Hulek, G. K. Sankaran. 2002-03-22. The nef cone of toroidal compactifications of ${\cal A}_4$. https://arxiv.org/abs/math/0203238

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