Chapter 4 presents the computation of Gröbner bases, based on standard bitableaux and the Robinson-Schensted-Knuth correspondence to which it gives a short introduction. It exploits the information on the initial ideal for structural results with a homological flavor, as well as in the computation of enumerative data such as multiplicities and Hilbert series. We give also a more recent approach to Gröbner bases of determinantal ideals via secant varieties.
Gröbner Bases of Determinantal Ideals
Conca A.;Varbaro M.
2022-01-01
Abstract
Chapter 4 presents the computation of Gröbner bases, based on standard bitableaux and the Robinson-Schensted-Knuth correspondence to which it gives a short introduction. It exploits the information on the initial ideal for structural results with a homological flavor, as well as in the computation of enumerative data such as multiplicities and Hilbert series. We give also a more recent approach to Gröbner bases of determinantal ideals via secant varieties.
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