Recent Developments in Commutative Algebra - Claudia Polini, Claudiu Raicu, Matteo Varbaro, Mark E. Walker

Recent Developments in Commutative Algebra

Levico Terme, Trento 2019
Buch | Softcover
XI, 118 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-65063-6 (ISBN)
48,14 inkl. MwSt

This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations. 

Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field. 

The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.

- Defining Equations of Blowup Algebras. - Koszul Modules. - Gröbner Degenerations. - Adams Operations in Commutative Algebra.

Erscheinungsdatum
Reihe/Serie C.I.M.E. Foundation Subseries
Lecture Notes in Mathematics
Zusatzinfo XI, 118 p. 17 illus., 1 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 215 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Adams operations • Buchberger algorithm • Buchsbau-Rim complex • Castelnuovo-Mumford regularity • Cohen-Macaulay rings • Defining Equations • Eagon-Northcott complex • Green's conjecture • Gröbner Bases • Gröbner degenerations • Grothendieck group • Hermite reciprocity • intersection multiplicities • Koszul complex • Koszul modules • Lambda operations • Matrix Factorizations • Rees Rings • Syzygies and Resolutions • Total Rank conjecture
ISBN-10 3-030-65063-4 / 3030650634
ISBN-13 978-3-030-65063-6 / 9783030650636
Zustand Neuware
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