Bernstein-Sato polynomial and related invariants for meromorphic functions
arXiv:2112.08492 · doi:10.1090/tran/9390
Abstract
We develop a theory of Bernstein-Sato polynomials for meromorphic functions and we use it to study the analytic continuation of Archimedian local zeta functions in this setting. We also introduce both an analytic and an algebraic theory of multiplier ideals for meromorphic functions and relate the jumping numbers of these multiplier ideals to the roots of the Bernstein-Sato polynomials.
25 pages. Major changes in Sections 2 and 3 due to an error in a previous version. Comments welcome