Recent Developments in Commutative Algebra
Levico Terme, Trento 2019
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Beschreibung
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.
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.
Presents four lectures by leading experts Provides an in-depth exploration of recent advances Includes extensive background and references
Autor*in
Claudia Polini
Themen in »Recent Developments in Commutative Algebra«
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