Title
The geometry of representations of 3-dimensional Sklyanin algebras The geometry of representations of 3-dimensional Sklyanin algebras
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
University Hospital Antwerp
Publication type
article
Publication
Subject
Mathematics
Source (journal)
eprint-archive math.RA
Volume/pages
(2014) , p. 1-12
Carrier
E-only publicatie
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
The representation scheme repnA of the 3-dimensional Sklyanin algebra A associated to a plane elliptic curve and n-torsion point contains singularities over the augmentation ideal m. We investigate the semi-stable representations of the noncommutative blow-up algebra B=A⊕mt⊕m2t2⊕... to obtain a partial resolution of the central singularity projZ(B)→specZ(A) such that the remaining singularities in the exceptional fiber determine an elliptic curve and are all of type C×C2/Zn.
E-info
https://repository.uantwerpen.be/docman/iruaauth/79e8e9/d44b1174bf8.pdf
http://arxiv.org/abs/1405.1158
Handle