Quiver Grassmannians and degenerate flag varieties

Details Quiver Grassmannians and degenerate flag varieties Quiver Grassmannians and degenerate flag varieties

2011-06-13

arxiv.org/abs/1106.2399v1

Mathematics

Algebraic Geometry

23 pages

Scientific paper

Quiver Grassmannians are varieties parametrizing subrepresentations of a quiver representation. It is observed that certain quiver Grassmannians for type A quivers are isomorphic to the degenerate flag varieties investigated earlier by the second named author. This leads to the consideration of a class of Grassmannians of subrepresentations of the direct sum of a projective and an injective representation of a Dynkin quiver. It is proven that these are (typically singular) irreducible normal local complete intersection varieties, which admit a group action with finitely many orbits, and a cellular decomposition. For type A quivers explicit formulas for the Euler characteristic (the median Genocchi numbers) and the Poincare polynomials are derived.

Affiliated with

Also associated with

No associations

Rating

Quiver Grassmannians and degenerate flag varieties 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 Quiver Grassmannians and degenerate flag varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quiver Grassmannians and degenerate flag varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429260