Determinants, Groebner Bases and Cohomology

Determinants, Groebner Bases and Cohomology

Varbaro, Matteo; Conca, Aldo; Raicu, Claudiu; Bruns, Winfried

Springer International Publishing AG

12/2022

507

Dura

Inglês

9783031054792

15 a 20 dias

945

Descrição não disponível.
1 Groebner bases, initial ideals and initial algebras.- 2 More on Groebner deformations.- 3 Determinantal ideals and the straightening law.- 4 Groebner bases of determinantal ideals.- 5 Universal Groebner bases.- 6 Algebras defined by minors.- 7 F-singularities of determinantal rings.- 8 Castelnuovo-Mumford regularity.- 9 Grassmannians, flag varieties, Schur functors and cohomology.- 10 Asymptotic regularity for symbolic powers of determinantal ideals.- 11 Cohomology and regularity in characteristic zero.
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Determinantal varieties;Determinantal ideals;Determinantal rings;Sagbi bases;initial ideals;initial algebras;Robinson-Schensted-Knuth correspondence;straightening law;F-regularity;Castelnuovo-Mumford regularity;cohomology of flag varieties;line bundles on flag varieties;Schur functors;Borel-Weil-Bott theorem;regularity of symbolic powers