The Rees Algebra for Certain Monomial Curves
classification
🧮 math.AC
keywords
algebrablowupcertaincurvesmonomialreessmoothaffirmative
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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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