Geodesic
Quiver Grassmannians associated with string modules.
Journal of Algebraic Combinatorics, Tome 33 (2011) no. 2, pp. 259-276.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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] $_{ p,1}$ tildeA_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).
Keywords: keywords cluster algebras, cluster character, quiver grassmannians, Euler characteristic, string modules 
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     author = {Cerulli Irelli, G.},
     title = {Quiver {Grassmannians} associated with string modules.},
     journal = {Journal of Algebraic Combinatorics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2011__33_2_a2/}
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Cerulli Irelli, G. Quiver Grassmannians associated with string modules.. Journal of Algebraic Combinatorics, Tome 33 (2011) no. 2, pp. 259-276. http://geodesic.mathdoc.fr/item/JAC_2011__33_2_a2/