Witt's cancellation theorem seen as a cancellation
Number Theory
2016-09-27 v4 Commutative Algebra
History and Overview
Abstract
The year 2017 marks the 80th anniversary of Witt's famous paper containing key results, including the Witt cancellation theorem, which form the foundation for the algebraic theory of quadratic forms. We pay homage to this paper by presenting a transparent and algebraic proof of the Witt cancellation theorem, which itself is based on a cancellation. We also present an overview of some recent spectacular work which is still building on Witt's original creation of the algebraic theory of quadratic forms.
Keywords
Cite
@article{arxiv.1106.2595,
title = {Witt's cancellation theorem seen as a cancellation},
author = {Sunil K. Chebolu and Dan McQuillan and Jan Minac},
journal= {arXiv preprint arXiv:1106.2595},
year = {2016}
}
Comments
14 pages.We made some updates and changes in the exposition. This article will appear in Expositiones Mathematicae