Cluster tilting for one-dimensional hypersurface singularities

Details Cluster tilting for one-dimensional hypersurface singularities Cluster tilting for one-dimensional hypersurface singularities

2007-04-10

arxiv.org/abs/0704.1249v3

Adv. Math. 217 (2008), no. 6, 2443--2484

Mathematics

Representation Theory

32 pages

Scientific paper

In this article we study Cohen-Macaulay modules over one-dimensional hypersurface singularities and the relationship with the representation theory of associative algebras using methods of cluster tilting theory. We give a criterion for existence of cluster tilting objects and their complete description by homological methods, using higher almost split sequences and results from birational geometry. We obtain a large class of 2-CY tilted algebras which are finite dimensional symmetric and satisfy $\tau^2=\id$. In particular, we compute 2-CY tilted algebras for simple and minimally elliptic curve singularities.

Affiliated with

Also associated with

No associations

Rating

Cluster tilting for one-dimensional hypersurface singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cluster tilting for one-dimensional hypersurface singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cluster tilting for one-dimensional hypersurface singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207699