The Tate conjecture for certain abelian varieties over finite fields
J. S. Milne (2001)
Acta Arithmetica
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J. S. Milne (2001)
Acta Arithmetica
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We investigate the Tits buildings of the paramodular groups with or without canonical level structure, respectively. These give important combinatorical information about the boundary of the toroidal compactification of the moduli spaces of non-principally polarised Abelian varieties. We give a full classification of the isotropic lines for all of these groups. Furthermore, for square-free, coprime polarisations without level structure we show that there is only one top-dimensional isotropic...
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