The Rees Algebra for Certain Monomial Curves

Details The Rees Algebra for Certain Monomial Curves The Rees Algebra for Certain Monomial Curves

2010-03-03

arxiv.org/abs/1003.0775v2

Mathematics

Commutative Algebra

Scientific paper

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.

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