2004/01/01 by Hans Schoutens · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications
paper · pdf · doi:10.1215/ijm/1258136178
crossref issued 2004/01/01 · crossref published 2004/01/01 · crossref published-print 2004/01/01 · openalex publication_date 2004/01/01 · crossref created 2019/03/04 · crossref deposited 2024/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22 · crossref indexed 2026/07/31
We give a canonical construction of a balanced big Cohen-Macaulay algebra for a domain of finite type over \mathbb C by taking ultraproducts of absolute integral closures in positive characteristic. This yields a new tight closure characterization of rational singularities in characteristic zero.