Asymptotic behaviour of Kac polynomials

19 Oct 2020 Hennecart Lucien

We conjecture a formula supported by computations for the valuation of Kac polynomials of a quiver, which only depends on the number of loops at each vertex. We prove a convergence property of renormalized Kac polynomials of quivers when increasing the number of arrows: they converge in the ring of power series, with a linear rate of convergence... (read more)

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Categories


  • REPRESENTATION THEORY
  • ALGEBRAIC GEOMETRY