Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects in algebraic geometry (14Qxx) Computational aspects and applications of commutative rings (13Pxx)

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A partial characterization of Hilbert quasi-polynomials in the non-standard case ⋮ Conormal spaces and Whitney stratifications ⋮ Gotzmann regularity for globally generated coherent sheaves ⋮ Phylogenetic complexity of the Kimura 3-parameter model ⋮ The ubiquity of Sylvester forms in almost complete intersections ⋮ Efficient localization at a prime ideal without producing unnecessary primary components ⋮ The direct image of generalized divisors and the norm map between compactified Jacobians ⋮ Rational maps of ℙⁿ with prescribed fixed points and the smooth conic case

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