%0 Journal Article
%T The Rees Algebra for Certain Monomial Curves
%A Debasish Mukhopadhyay
%A Indranath Sengupta
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1003.0775v2