论文标题
theta除数和persutohedra
Theta divisors and permutohedra
论文作者
论文摘要
我们建立了光滑的theta除数$θ^n $与percutohedron $π^n $和相应的复的福利品种$x_π^n。$特别是，我们表明，theta divisor $θ^n $与$ h $ - polynomial of percomithohemial unsy coccins and permutoh $ conty and permutohedron $ cocciest的相应的复$x_π^n $仅按符号$（-1）^n。$作为应用程序，我们根据Eulerian数字找到了Theta除数的所有Hodge编号。我们还揭示了theta划分和tomei流形之间的有趣的数值关系，该理论是toda晶格的理论。
We establish an intriguing relation of the smooth theta divisor $Θ^n$ with permutohedron $Π^n$ and the corresponding toric variety $X_Π^n.$ In particular, we show that the generalised Todd genus of the theta divisor $Θ^n$ coincides with $h$-polynomial of permutohedron $Π^n$ and thus is different from the same genus of $X_Π^n$ only by the sign $(-1)^n.$ As an application we find all the Hodge numbers of the theta divisors in terms of the Eulerian numbers. We reveal also interesting numerical relations between theta-divisors and Tomei manifolds from the theory of the integrable Toda lattice.
