The geometry of representations of 3-dimensional Sklyanin algebrasThe geometry of representations of 3-dimensional Sklyanin algebras
Faculty of Sciences. Mathematics and Computer Science

University Hospital Antwerp

Fundamental Mathematics

UZA

article

2014 2014

Mathematics

eprint-archive math.RA

(2014), p. 1-12

1

E-only publicatie

English (eng)

University of Antwerp

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.

https://repository.uantwerpen.be/docman/iruaauth/79e8e9/d44b1174bf8.pdf

http://arxiv.org/abs/1405.1158