19 citations · 25 across the 4 of their papers we have counts for
4 papers
Numbers of Generators of Perfect Ideals
Raymond C Heitmann
This article is concerned with the number of generators of perfect ideals J in regular local rings (R,m). If J is sufficiently large modulo , a bound is established depending…
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…
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…
The Direct Summand Conjecture in Dimension Three
Raymond C. Heitmann
The direct summand conjecture asserts that if R is a regular local ring and S is a module-finite R-algebra containing R, then R is a direct summand of S as an R-module. It was prev…