… of a hypersurface can be described as the minimal polynomial of the action of an Euler …
in positive characteristic, and use them to define a sequence of Bernstein–Sato polynomials (…

… In analogy with the complex analytic case, Mustata constructed (a family of) Bernstein–Sato
polynomials for the structure sheaf OX and a hypersurface (f = 0) in X, where X is a regular …

… in positive characteristic. More concretely, we develop a notion of Bernstein-Sato polynomial
for … the roots of the classical Bernstein-Sato polynomial from this characteristic-p version. …

… separably uniruled variety in positive characteristic satisfying the numerical condition of
Miyaoka and Mori.It is a counterexample to a problem which Miyaoka and Mori posed. …

… of the b-function (or Bernstein–Sato polynomial) in positive characteristic. Let f be a non-constant
polynomial with coefficients in a perfect field k of characteristic p > 0. Its b-function b f is …

… roots of the Bernstein-Sato polynomial of a monomial ideal using reduction mod p and
invariants of singularities in positive characteristic. We give in this setting a positive answer to a …

… properties of Bernstein-Sato polynomials from the case of … OX (X), all roots of the BernsteinSato
polynomial bf (s) are negative … formula relating the Bernstein-Sato polynomials of a and g. …

… positive characteristic called F-thresholds. They give an analogue of the jumping coefficients
of multiplier ideals in characteristic … of an ideal a in characteristic zero and the invariants of …

… of the Bernstein–Sato polynomial for elements in R. In positive characteristic, we use this …
We also relate the Bernstein–Sato polynomial in R with the F-thresholds and the F-jumping …

… –Sato polynomial of an … –Sato polynomial and the jumping coefficients of the multiplier
ideals, and also a criterion for rational singularities in terms of the maximal root of the polynomial …