41 citations · 191 across the 44 of their papers we have counts for
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math.AC2017★ 5 cited
Extended plus closure in complete local rings
Raymond Heitmann, Linquan Ma
The (full) extended plus closure was developed as a replacement for tight closure in mixed characteristic rings. Here it is shown by adapting André's perfectoid algebra techniques…
math.AC2017★ 41 cited
Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
Linquan Ma, Karl Schwede
Using perfectoid algebras, we introduce a mixed characteristic analog of the multiplier ideal, respectively test ideal, from characteristic zero, respectively , in the case…
math.AC2017★ 19 cited
Big Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristic
Raymond Heitmann, Linquan Ma
We prove a version of weakly functorial big Cohen-Macaulay algebras that suffices to establish Hochster-Huneke's vanishing conjecture for maps of Tor in mixed characteristic. As a…