Abundance theorem for threefolds in mixed characteristic

Fabio Bernasconi; Iacopo Brivio; Liam Stigant

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arXiv · 2111.08970

Abundance theorem for threefolds in mixed characteristic

Fabio Bernasconi·Iacopo Brivio·Liam Stigant

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Abstract

We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than five. As a consequence, we give a sufficient condition for the asymptotic invariance of plurigenera for certain families of singular surface pairs to hold in mixed characteristic.

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Fabio Bernasconi, Iacopo Brivio, Liam Stigant. 2022-11-23. Abundance theorem for threefolds in mixed characteristic. https://arxiv.org/abs/2111.08970

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