Article ID Journal Published Year Pages File Type
4587205 Journal of Algebra 2010 9 Pages PDF
Abstract

Given a Noetherian and Mori ring A, we show that the seminormalization of A is exactly the subring of ∏p∈SpecAκ(p) consisting of pointwise functions which vary algebraically along DVRs. This characterization allows easy navigation among the various definitions of the seminormalization. We discuss applications to the Chow variety (functor of algebraic cycles).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory