Quiver Grassmannians associated with string modules |
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Authors: | G Cerulli Irelli |
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Institution: | (1) Department of Mathematics and Statistics, University of Massachusetts at Amherst, Amherst, MA 01003-9305, USA |
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Abstract: | We provide a technique to compute the Euler–Poincaré 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–Poincaré characteristic of quiver Grassmannians associated with indecomposable pre-projective, pre-injective
and regular homogeneous representations of an affine quiver of type (A)\tilde]p,1\tilde{A}_{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). |
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