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

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/c/image/235625.jpg

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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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A Good Leaf Order on Simplicial Trees the Betti numbers of its facet ideal. Applications include an Eliahou–Kervaire splitting of the ideal, as well as a refinement of a recursive formula of Hà and Van Tuyl for computing the graded Betti numbers of simplicial trees.

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Ottoman Science Studies-A Reviewimal 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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Nonconvex Optimization and Its Applications. Much is known about the Koszul algebra structure for such ideals, but a complete classification is still unknown. It is known that we can use the minimal free resolution to determine the Koszul algebra structure for trivariate monomial ideals. We will see what new insight we can gain about this cl

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