Moduli and Tilting I. Quivers

Details Moduli and Tilting I. Quivers Moduli and Tilting I. Quivers

2010-11-28

arxiv.org/abs/1011.6106v2

Mathematics

Algebraic Geometry

27 pages, 3 figures, submitted. Changes of 2nd version: 1. New results are found, eg. Theorem 6.3. 2. New definitions are intr

Scientific paper

We use tilting theory and birational geometry to study moduli spaces of quiver representations. From certain "representable" functor, we construct a birational transformation from the moduli space of representations of one quiver to another new quiver with one vertex less. The dimension vector and the stability for the new moduli are determined functorially. We introduce several relative notions of stability to study such a birational transformation. The essential case is proven to be the usual blow-ups. Moreover, we compare the induced ample divisors for the two moduli. We illustrate this theory by various examples.

Affiliated with

Also associated with

No associations

Rating

Moduli and Tilting I. Quivers 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 Moduli and Tilting I. Quivers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli and Tilting I. Quivers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220123