156 citations · 171 across the 10 of their papers we have counts for
17 papers
Stanley-Reisner Theory in Mixed Characteristic
Mel Hochster, Olivia Strahan
We discuss a class of mixed characteristic rings defined analogously to Stanley-Reisner rings by replacing one variable with a uniformizing parameter for a discrete valuation ring.…
Lim Cohen-Macaulay sequences of modules
Bhargav Bhatt, Mel Hochster, Linquan Ma
We introduce the notion of a lim Cohen-Macaulay sequence of modules. We prove the existence of such sequences in positive characteristic, and show that their existence in mixed cha…
When are the natural embeddings of classical invariant rings pure?
Melvin Hochster, Jack Jeffries, Vaibhav Pandey +1
Consider a reductive linear algebraic group acting linearly on a polynomial ring over an infinite field; key examples are the general linear group, the symplectic group, th…
A Jacobian criterion for nonsingularity in mixed characteristic
Melvin Hochster, Jack Jeffries
We give a version of the usual Jacobian characterization of the defining ideal of the singular locus in the equal characteristic case: the new theorem is valid for essentially affi…
Extensions of primes, flatness, and intersection flatness
Melvin Hochster, Jack Jeffries
We study when has the property that prime ideals of extend to prime ideals or the unit ideal of , and the situation where this property continues to hold after adj…
Universal Lex Ideal Approximations of Extended Hilbert Functions and Hamilton Numbers
Tigran Ananyan, Melvin Hochster
Let denote the polynomial ring in variables over a specified field . We consider all of these rings simultaneously, and in each use lexicographic (le…