Geodesic
Algebraic Geometry
On Euler characteristics for large Kronecker quivers
[Sur la caractéristique dʼEuler de lʼespace des représentations stables dʼun grand carquois de Kronecker]

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Okada, So1
1 Research Institute for Mathematical Sciences, Kyoto University, 606-8502, Japan
Comptes Rendus. Mathématique, Tome 350 (2012) no. 5-6, pp. 273-276.

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We study Euler characteristics of moduli spaces of stable representations of m-Kronecker quivers for m≫0. In particular, we study an asymptotic log formula of Euler characteristics and a normalized asymptotic log formula of Euler characteristic, motivated by so-called Douglas conjecture.

Nous étudions la caractéristique dʼEuler des espaces de modules de représentations stables des m-carquois de Kronecker pour m grand. En particulier, nous étudions une formule log asymptotique pour la caractéristique dʼEuler et une formule asymptotique normalisée, motivées par la conjecture de Douglas.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.02.008

Okada, So 1

1 Research Institute for Mathematical Sciences, Kyoto University, 606-8502, Japan 
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Okada, So. On Euler characteristics for large Kronecker quivers. Comptes Rendus. Mathématique, Tome 350 (2012) no. 5-6, pp. 273-276. doi : 10.1016/j.crma.2012.02.008. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2012.02.008/

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