Recent Developments in Commutative Algebra, 1st ed. 2021 Levico Terme, Trento 2019 C.I.M.E. Foundation Subseries Series
Auteurs : Polini Claudia, Raicu Claudiu, Varbaro Matteo, Walker Mark E.
Coordonnateurs : Conca Aldo, Iyengar Srikanth B., Singh Anurag K.
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
Date de parution : 03-2021
Ouvrage de 118 p.
15.5x23.5 cm
Thème de Recent Developments in Commutative Algebra :
Mots-clés :
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
