Ulrich wildness conjecture for general linear standard determinantal schemes

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Let X⊂PnX\subset \mathbb{P}^n be a general linear standard determinantal scheme of codimension c≥2c\ge 2 defined by the maximal minors of a t×(t+c−1)t\times (t+c-1) matrix with linear entries. Ulrich wildness conjecture. XX is of Ulrich wild representation type unless XX is Pn−c\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.

References

Primary source

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

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