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math.AC2010★ 9 cited
Minimal free resolutions for certain affine monomial curve
Philippe Gimenez, Indranath Sengupta, Hema Srinivasan
Given an arbitrary field k and an arithmetic sequence of positive integers m_0<...<m_n, we consider the affine monomial curve parameterized by X_0=t^{m_0},...,X_n=t^{m_n}. In this…
math.AC2010★ 4 cited
The Rees Algebra for Certain Monomial Curves
Debasish Mukhopadhyay, Indranath Sengupta
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 co…