Titlebook: Determinants, Gröbner Bases and Cohomology; Winfried Bruns,Aldo Conca,Matteo Varbaro Book 2022 Springer Nature Switzerland AG 2022 Determi

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Generations of Women HistoriansChapter 5 covers the existence of universal Gröbner bases of determinantal ideals as far as they are known, namely maximal minors and 2-minors. The approach to the case of maximal minors is particularly simple.

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,Gröbner Bases, Initial Ideals and Initial Algebras,The first chapter gives a compact, but quite complete introduction to Gröbner bases and Sagbi bases in general. The focus is on the structural aspects, namely, the use of Gröbner and Sagbi degenerations in the transfer of homological and enumerative information from Stanley-Reisner and/or toric rings to those objects that degenerate to them.

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,Determinantal Ideals and the Straightening Law,In this chapter gives a short introduction to standard bitableaux and the straightening law. This powerful technique is the key to structural properties of determinantal rings. But it is also of central importance for the computation of Gröbner and Sagbi bases on the one hand and for the representation theoretic approach on the other.

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,Universal Gröbner Bases,Chapter 5 covers the existence of universal Gröbner bases of determinantal ideals as far as they are known, namely maximal minors and 2-minors. The approach to the case of maximal minors is particularly simple.

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Winfried Bruns,Aldo Conca,Matteo VarbaroCombines representation theoretic and geometric methods to study determinantal varieties.Explores the theoretical use of Gröbner and Sagbi bases.Contains everything you always wanted to know about Cas

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