Behrend's function is constant on Hilbn(C3)
Abstract
We prove that Behrend's function is constant on Hilbn(C3). A calculation of motivic zeta functions shows the relevant Milnor fibers have zero Euler characteristic. As a corollary we see that Hilbn(C3) is generically reduced. These results extend to moduli schemes of points and curves on resolutions of ADE singularities C × YG.
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