Recent Developments in Commutative Algebra
Springer International Publishing (Verlag)
978-3-030-65063-6 (ISBN)
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 | 08.04.2021 |
|---|---|
| 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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