Titlebook: Homological and Computational Methods in Commutative Algebra; Dedicated to Winfrie Aldo Conca,Joseph Gubeladze,Tim R?mer Book 2017 Springer

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About Multiplicities and Applications to Bezout Numbers,t . for .. It follows that ., where .. The main results of the report are a discussion when . resp. to describe the value of . in some particular cases. Applications concern results on the multiplicity . and applications to Bezout numbers.

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F-Thresholds, Integral Closure and Convexity,integral closures of a finite set of prime ideals abide the expected convexity patterns, then the existence of a peculiar polynomial . allows one to compute the .-jumping numbers of all the ideals formed by taking sums of products of the original ones. The note concludes with the suggestion of a pos

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How to Flatten a Soccer Ball, demarcate the “flattened soccer ball”. We explore cylindrical algebraic decompositions, by working through concrete examples. Maps onto convex polygons and connections to convex optimization are also discussed.

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Book 2017c geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references..

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Betti Sequences over Standard Graded Commutative Algebras with Two Relations,of every .-module . is constant after . steps. We prove that if ., then the Betti sequence of . is determined explicitly by some initial segment of known length, which can be read off a presentation of .. There are three cases, depending on the degrees of the defining relations of . and on whether these have a common divisor.