Simultaneous normalization and algebra husks

TL;DR

This paper introduces the use of algebra husks to establish an analog of the flattening decomposition theorem for simultaneous normalizations, enhancing flatness criteria and contributing to algebraic geometry.

Contribution

It presents a novel application of algebra husks to prove a flattening decomposition theorem for simultaneous normalizations, improving flatness criteria.

Findings

Proved an analog of the flattening decomposition theorem using algebra husks.

Improved flatness criteria in algebraic geometry.

Extended applications of algebra husks in normalization processes.

Abstract

The aim of this note is to use the concept of algebra husks to prove an analog of the flattening decomposition theorem for simultaneous normalizations. Other applications improve earlier flatness criteria. Parts of this note were contained in the first version of "Hulls and Husks" (arXiv:0805.0576). Dec. 16: new references added.