12 citations · 53 across the 10 of their papers we have counts for
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math.AG2019★ 10 cited
On the log minimal model program for -folds over imperfect fields of characteristic
Omprokash Das, Joe Waldron
We prove that many of the results of the LMMP hold for -folds over fields of characteristic which are not necessarily perfect. In particular, the existence of flips, the c…
math.AG2019★ 12 cited
An analog of adjoint ideals and PLT singularities in mixed characteristic
Linquan Ma, Karl Schwede, Kevin Tucker +2
We use the framework of perfectoid big Cohen-Macaulay algebras to define a class of singularities for pairs in mixed characteristic, which we call purely BCM-regular singularities,…
math.AG2019★ 11 cited
Structure of geometrically non-reduced varieties
Lena Ji, Joe Waldron
We prove a structural result for geometrically non-reduced varieties and give applications to Fano varieties. For example, we show that if is the generic fibre of a Mori fibre…