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Titlebook: Computations in Algebraic Geometry with Macaulay 2; David Eisenbud,Michael Stillman,Bernd Sturmfels Textbook 2002 Springer-Verlag Berlin H

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Algorithms for the Toric Hilbert Schemenected. In this chapter we illustrate the use of . for exploring the structure of toric Hilbert schemes. In the process we will encounter algorithms from commutative algebra, algebraic geometry, polyhedral theory and geometric combinatorics.
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https://doi.org/10.1007/978-3-662-04851-1Groebner bases; algebraic geometry; algorithms; commutative algebra; computer algebra system; symbolic al
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https://doi.org/10.1007/978-3-0348-7500-4This chapter presents a collection of graduate level problems in algebraic geometry illustrating the power of . as an educational tool.
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H.-H. Strehblow,P. Borthen,P. DruskaMonomial ideals form an important link between commutative algebra and combinatorics. In this chapter, we demonstrate how to implement algorithms in . for studying and using monomial ideals. We illustrate these methods with examples from combinatorics, integer programming, and algebraic geometry.
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