Determinants, Gröbner Bases and Cohomology
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ISBN-13:
9783031054822
Veröffentl:
2023
Einband:
Paperback
Erscheinungsdatum:
03.12.2023
Seiten:
524
Autor:
Winfried Bruns
Gewicht:
785 g
Format:
235x155x29 mm
Serie:
Springer Monographs in Mathematics
Sprache:
Englisch
Beschreibung:
This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.
1 Gröbner bases, initial ideals and initial algebras.- 2 More on Gröbner deformations.- 3 Determinantal ideals and the straightening law.- 4 Gröbner bases of determinantal ideals.- 5 Universal Gröbner 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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