Titlebook: Using Algebraic Geometry; David Cox,John Little,Donal O’Shea Textbook 19981st edition Springer Science+Business Media New York 1998 Combin

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Free Resolutions,f relations Syz (..,..., ..) is an .-module in a natural way and, hence, to understand it, we need not just its generators ..,..., .., but the set of relations Syz (..,...,..) on these generators, the so-called second syzygies. The second syzygies are again an .-module and to understand it, we again

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Integer Programming, Combinatorics, and Splines,-wise polynomial functions on subdivisions of such regions. In each case Gröbner basis techniques give important computational and conceptual tools to deal with problems of interest and practical importance. These topics are also closely related to the material on polytopes and toric varieties from