The Rees Algebra for Certain Monomial Curves
Commutative Algebra
2011-01-12 v2
Abstract
In this article, we find the equations defining the Rees algebra for certain Monomial Curves explicitly and use them to prove that the blowup scheme is not smooth. This proves a conjecture of Francia in affirmative, which says that a dimension one prime in a regular local ring is a complete intersection if it has a smooth blowup.
Keywords
Cite
@article{arxiv.1003.0775,
title = {The Rees Algebra for Certain Monomial Curves},
author = {Debasish Mukhopadhyay and Indranath Sengupta},
journal= {arXiv preprint arXiv:1003.0775},
year = {2011}
}