- REMARKS ON THE MAFFEI`S ISOMORPHISM
- Kwon, Nam-Hee ;
- Honam Mathematical Journal, volume 33, issue 3, 2011, Pages 347~353
- DOI : 10.5831/HMJ.2011.33.3.347

Abstract

In [1], Maffei proved a certain relationship between quiver varieties of type A and the geometry of partial flag varieties over the nilpotent cone. This relation was conjectured by Naka-jima, and Nakajima proved his conjecture for a simple case. In the Maffei`s proof, the key step was a reduction of the general case of the conjecture to the simple case treated by Nakajima through a certain isomorphism. In this paper, we study properties of this isomorphism.