Quiver Grassmannians associated with string modules

作者：Irelli G Cerulli^*

来源：Journal of Algebraic Combinatorics, 2011, 33(2): 259-276.

DOI：10.1007/s10801-010-0244-6

• Cluster algebras
• Cluster character
• Quiver Grassmannians
• Euler characteristic
• String modules

We provide a technique to compute the Euler-Poincare characteristic of a class of projective varieties called quiver Grassmannians. This technique applies to quiver Grassmannians associated with "orientable string modules". As an application we explicitly compute the Euler-Poincare characteristic of quiver Grassmannians associated with indecomposable pre-projective, pre-injective and regular homogeneous representations of an affine quiver of type (A) over tilde (p, 1). For p = 1, this approach provides another proof of a result due to Caldero and Zelevinsky (in Mosc. Math. J. 6(3):411-429, 2006).

• 出版日期2011-3