Behrend's function is not constant on $\mathrm{Hilb}^n(\mathbb{A}^3)$
We prove the statement in the title for $n\geq 24$.
math.AG↗
arXiv subjects
J. Jelisiejew
Publications and source records attributed to J. Jelisiejew.
Detecting Direct Sums of Tensors and Their Limits
We generalize Mammana's classification of limits of direct sums to more than two factors. We also extend it from polynomials to arbitrary Segre-Veronese format, generalising and unifying results of Buczyńska-Buczyński-Kleppe-Teitler, Hwang, Wang, and Wilson. Remarkably, in such much more general setup it is still possible to characterise the possible limits. Our proofs are direct and based on the theory of centroids, in particular avoiding the delicate Betti number arguments.
math.AG↗