Variation of Archimedean Zeta Function and $n/d$-Conjecture for Generic Multiplicities

Quan Shi, Huaiqing Zuo

For $f_1,...,f_r\in \mathbb{C}[z_1,...,z_n]\setminus \mathbb{C}$, we introduce the variation of archimedean zeta function. As an application, we show that the $n/d$-conjecture, propo…