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math.AG2021
Abundance theorem for threefolds in mixed characteristic
Fabio Bernasconi, Iacopo Brivio, Liam Stigant
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…
math.AG2021
Mori Fibrations in Mixed Characteristic
Liam Stigant
This paper resolves several outstanding questions regarding the Minimal Model Program for klt threefolds in mixed characteristic. Namely termination for pairs which are not pseudo-…
math.AG2021
The Augmented Base Locus in Mixed Characteristic
Liam Stigant
Let be a nef and big line bundle on a scheme . It is well known that if is a projective over a field then the augmented base locus and the exceptional base locus agree.…