AV Akademikerverlag ( 12.10.2017 )
€ 44,90
This is a dissertation in commutative algebra. The author introduces a new numerical invariant for local rings called symmetric signature. Given a local ring, the symmetric signature is defined by looking at the maximal free splitting of reflexive symmetric powers of the top-dimensional syzygy module of the residue field. The main motivation for this work is given by the F-signature, an important numerical invariant for local rings of positive characteristic which has been largely studied in the last decade. The dissertation contains a computation of the symmetric signature for two-dimensional ADE singularities and for cones over elliptic curves. In both cases, the values obtained coincide with the F-signature of such rings in positive characteristic. The thesis presents also a self-contained exposition of the Auslander correspondence, which is one of the main methods employed.
Buch Details: |
|
ISBN-13: |
978-3-330-52066-0 |
ISBN-10: |
3330520663 |
EAN: |
9783330520660 |
Buchsprache: |
English |
von (Autor): |
Alessio Caminata |
Seitenanzahl: |
148 |
Veröffentlicht am: |
12.10.2017 |
Kategorie: |
Mathematik |