3 papers
math.AC2023
Rationality for arbitrary closure operations and the test ideal of full extended plus closure
Zhan Jiang, Rebecca R. G
We extend the notion of F-rationality to other closure operations, inspired by the work of Smith, Epstein and Schwede, and Ma and Schwede, which describe F-rationality in terms of…
math.AC2021
Test elements in equal characteristic semianalytic algebras
Zhan Jiang
We establish a series of results showing that the Jacobian ideal is contained in the test ideal. After proving a new result in characteristic for complete rings over a field $K…
math.AG2021
RandomPoints package for Macaulay2
Sankhaneel Bisui, Zhan Jiang, Sarasij Maitra +2
We present {\tt RandomPoints}, a package in \emph{Macaulay2} designed mainly to identify rational and geometric points in a variety over a finite field. We provide tools to estimat…