论文标题
可吸引人的风扇II：刻有分区，简单布置和反射组
Inscribable Fans II: Inscribed zonotopes, simplicial arrangements, and reflection groups
论文作者
论文摘要
如果超植物具有刻有（或理想的双曲线）划界，那么平面的布置是非常界定的。我们表征了铭刻的地位，并证明了在限制和本地化受到牢固界定安排的家庭。此外，我们表明（强烈）可划界的安排是简单的。我们猜测，只有反射安排及其限制是强烈的，我们可以使用猜想的$ 3 $来验证我们的猜想，并使用猜想的不可约简的简单排名列表 - $ 3 $安排。
An arrangement of hyperplanes is strongly inscribable if it has an inscribed (or ideal hyperbolic) zonotope. We characterize inscribed zonotopes and prove that the family of strongly inscribable arrangements is closed under restriction and localization. Moreover, we show that (strongly) inscribable arrangements are simplicial. We conjecture that only reflection arrangements and their restrictions are strongly inscribable and we verify our conjecture in rank-$3$ using the conjecturally complete list of irreducible simplicial rank-$3$ arrangements.
