7 problems

Let $V$ be a finite-dimensional complex vector space, let $W\subset \operatorname{GL}(V)$ be a finite complex reflection group, and let $V^{\operatorname{reg}}$ be the complement i…

Let $k={\mathbb{C}}$, let $m\geq 2$, and consider the generators of the ideal in Theorem Li–Li analogue, namely … Here the ideal defines the set of points in ${\mathbb{C}}^n$ for w…

Let $G\subseteq \operatorname{GL}(V)$ be a Coxeter group with reflection arrangement ${\mathscr A}$, and let $M({\mathscr A})$ be the complement of the arrangement. For $g\in G$, l…

Let $W$ be a well-generated reflection group acting on a complex vector space $V$. A frame $\Lambda$ is the auxiliary structure used to define the properties strongly stratified an…

Let $W$ be a well-generated reflection group acting on a complex vector space $V$. A generating set $R$ is well-generating when it generates $W$ and has cardinality $\dim V$. The s…

Let $\mathcal{A}_{8,1}$ denote the rank-$8$ reflection arrangement of type $E_8$, and let “HeuristicGoodOrdering” denote the ordering procedure produced by Algorithm 5.4. Heuristic…

Residual torsion-free nilpotence conjecture. The fundamental group of the complement