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 a quiver of type affine-Ap. 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).

Quiver Grassmannians associated with string modules / CERULLI IRELLI, Giovanni. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - 33:2(2011), pp. 259-276. [10.1007/s10801-010-0244-6]

Quiver Grassmannians associated with string modules

CERULLI IRELLI, GIOVANNI
2011

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 a quiver of type affine-Ap. 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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11573/337887
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