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The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring
Almost Complete Intersection Enumeration of Plane Partitions
2011/1/18
Let k be a field. For each pair of positive integers (n,N), we resolve Q = R/(xN, yN, zN) as a module over the ring R = k[x, y, z]/(xn +yn + zn). Write N in the form N = an + r for integers a and r.
Results on the Ratliff-Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves
Monomial curves normal ideals Ratliff-Rush closure integral closure monomial ideals
2010/11/30
Starting from [1] we compute the Groebner basis for the defining ideal,P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant description of the generators of powe...