Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials

Seung-Jo Jung, In-Kyun Kim, Morihiko Saito +1

For a holomorphic function $f$ on a complex manifold $X$, the Briançon-Skoda exponent $e^{\mathrm{BS}}(f)$ is the smallest integer $k$ with $f^k\in (\partial f)$ (replacing $X$ with a ne…