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Titlebook: Connections Between Algebra, Combinatorics, and Geometry; Susan M. Cooper,Sean Sather-Wagstaff Conference proceedings 2014 Springer Scienc

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Numerical Computation of the Hilbert Function and Regularity of a Zero Dimensional Schemeis article presents a numerical algorithm for computing the Hilbert function and the regularity of .. In addition, the algorithm produces a monomial basis for .∕.. The input for the algorithm is the polynomial system . and a numerical approximation of each element in ..
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Nonconvex Optimization and Its Applicationsassification using planar graphs and provide additional information to previous results. By inspecting the planar graphs we also find some surprising results about which lower Bass numbers we can obtain for trivariate monomial ideals.
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Regina Lectures on Fat Points2. The lectures were meant as an introduction to current research problems related to fat points for an audience that was not expected to have much background in commutative algebra or algebraic geometry (although Sects. 8 and 9 of these notes demand somewhat more background than earlier sections).
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Numerical Computation of the Hilbert Function and Regularity of a Zero Dimensional Schemeimal ideal of .. and let . denote the .-primary component of .. Let . and let . denote the corresponding zero dimensional subscheme supported on .. This article presents a numerical algorithm for computing the Hilbert function and the regularity of .. In addition, the algorithm produces a monomial b
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Non-Gorenstein Isolated Singularities of Graded Countable Cohen–Macaulay Typeed Cohen–Macaulay ring of graded countable Cohen–Macaulay representation type, and assume that . has an isolated singularity. Is . then necessarily of graded finite Cohen–Macaulay representation type? In particular, this question has an affirmative answer for standard graded non-Gorenstein rings as
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