Ulrich wildness conjecture for general linear standard determinantal schemes

Let XPnX\subset \mathbb{P}^n be a general linear standard determinantal scheme of codimension c2c\ge 2 defined by the maximal minors of a t×(t+c1)t\times (t+c-1) matrix with linear entries. Ulrich wildness conjecture. XX is of Ulrich wild representation type unless XX is Pnc\mathbb{P}^{n-c}, the rational normal curve in Pn\mathbb{P}^n, or the cubic scroll in P4\mathbb{P}^4, which are of finite representation type; or the quartic scroll in P5\mathbb{P}^5, which is of tame representation type. The preceding theorems, corollaries, and computational examples prove the assertion in many cases, but the general statement remains open.

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Primary source

Jan O. Kleppe and Rosa M. Miró-Roig, “The representation type of determinantal varieties”, arXiv:1803.08303 (2018).

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