On finite dimensional Jacobian Algebras
classification
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algebrasdimensionalfinitejacobianalgebraarisingassociatedconsider
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We show that Jacobian algebras arising from a sphere with $n$-punctures, with $n\geq5$, are finite dimensional algebras. We consider also a family of cyclically oriented quivers and we prove that, for any primitive potential, the associated Jacobian algebra is finite dimensional.
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