We prove the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than 5. 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.
Abundance theorem for threefolds in mixed characteristic / Bernasconi, F; Brivio, I; Stigant, L. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 388:(2024), pp. 141-166. [10.1007/s00208-022-02514-5]
Abundance theorem for threefolds in mixed characteristic
Bernasconi F;
2024
Abstract
We prove the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than 5. 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.File allegati a questo prodotto
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