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The Rees Algebra for Certain Monomial Curves

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.

preprint2011arXivOpen access
Debasish MukhopadhyayIndranath Sengupta
math.AC
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Debasish MukhopadhyayIndranath Sengupta

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