%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