ABHY 结合多面体与有限型簇代数的 $F$-多项式的牛顿多面体
ABHY Associahedra and Newton polytopes of $F$-polynomials for finite type cluster algebras
AI总结：
本文将ABHY结合多面体新构造推广至任意单标Dynkin类型的广义结合多面体，并发现该构造同样可生成对应簇代数所有 $F$-多项式的牛顿多面体，同时证明了g-向量扇相关环簇的nef锥具有单纯性。
摘要：
Arkani-Hamed、Bai、He 和 Yan 近期在散射振幅物理学的背景下给出了一种结合多面体的新构造。我们证明，他们的构造（在适当理解下）可用于构造任何单标 Dynkin 类型的广义结合多面体。出乎意料的是，我们还证明，同样的构造也能生成相应簇代数所有 $F$-多项式的牛顿多面体。此外，我们证明与 g-向量扇相关的环簇具有其 nef 锥为单纯锥的性质。
英文摘要：
A new construction of the associahedron was recently given by Arkani-Hamed, Bai, He, and Yan in connection with the physics of scattering amplitudes. We show that their construction (suitably understood) can be applied to construct generalized associahedra of any simply-laced Dynkin type. Unexpectedly, we also show that this same construction produces Newton polytopes for all the $F$-polynomials of the corresponding cluster algebras. In addition, we show that the toric variety associated to the g-vector fan has the property that its nef cone is simplicial.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
