Kac Polynomials for Canonical Algebras
2017 ◽
Vol 2019
(13)
◽
pp. 3981-4003
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Abstract We prove that the number of geometrically indecomposable representations of fixed dimension vector $\mathbf{d}$ of a canonical algebra $C$ defined over a finite field $\mathbb{F}_q$ is given by a polynomial in $q$ (depending on $C$ and $\mathbf{d}$). We prove a similar result for squid algebras. Finally, we express the volume of the moduli stacks of representations of these algebras of a fixed dimension vector in terms of the corresponding Kac polynomials.
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2020 ◽
Vol 66
(12)
◽
pp. 7408-7426
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2009 ◽
Vol DMTCS Proceedings vol. AK,...
(Proceedings)
◽
2009 ◽
Vol 61
(1)
◽
pp. 3-28
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2012 ◽
Vol 23
(09)
◽
pp. 1250097
◽
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2010 ◽
Vol 21
(09)
◽
pp. 1219-1238
2014 ◽
Vol 51
(4)
◽
pp. 454-465
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