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- W2342146074 abstract "Assuming Vojta’s conjecture, and building on recent work of the authors, we prove that, for a fixed number field $K$ and a positive integer $g$ , there is an integer $m_{0}$ such that for any $m>m_{0}$ there is no principally polarized abelian variety $A/K$ of dimension $g$ with full level- $m$ structure. To this end, we develop a version of Vojta’s conjecture for Deligne–Mumford stacks, which we deduce from Vojta’s conjecture for schemes." @default.
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- W2342146074 date "2017-02-01" @default.
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- W2342146074 title "Level structures on abelian varieties and Vojta’s conjecture" @default.
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- W2342146074 doi "https://doi.org/10.1112/s0010437x16008253" @default.
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