Tame and wild subspace problems

• Date: 1993
• Main Authors: Gabriel, Р., Nazarova, L. A., Roiter, A. V., Sergeychuk, V. V., Vossieck, D., Габріель, Р., Назарова, Л. А., Ройтер, А. В., Сергійчук, В. В., Воссик, Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5815
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Assume that $B$ is a finite-dimensional algebra over an algebraically closed field $k$, $B_d = \text{Spec} k[B_d]$ is the affine algebraic scheme whose $R$-points are the $B ⊗_k k[B_d]$-module structures on $R^d$, and $M_d$ is a canonical $B ⊗_k k[B_d]$-module supported by $k[Bd^]d$. Further, say th...