Bernstein–Sato polynomials in positive characteristic
M Mustaţă - Journal of Algebra, 2009 - Elsevier
… 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 positive characteristic, and use them to define a sequence of Bernstein–Sato polynomials (…
Bernstein–Sato polynomials and test modules in positive characteristic
… 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 …
polynomials for the structure sheaf OX and a hypersurface (f = 0) in X, where X is a regular …
Bernstein-Sato Theory in Positive Characteristic
E Quinlan - 2021 - deepblue.lib.umich.edu
… 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. …
for … the roots of the classical Bernstein-Sato polynomial from this characteristic-p version. …
A CRITERION FOR UNIRULEDNESS IN POSITIVE CHARACTERISTIC Dedicated to Professor Joji Kajiwara on his sixtieth birthday
E Sato - Tohoku Mathematical Journal, Second Series, 1993 - jstage.jst.go.jp
… 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. …
Miyaoka and Mori.It is a counterexample to a problem which Miyaoka and Mori posed. …
On a theory of the b-function in positive characteristic
T Bitoun - Selecta Mathematica, 2018 - Springer
… 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 …
polynomial with coefficients in a perfect field k of characteristic p > 0. Its b-function b f is …
Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach
N Budur, M Mustata, M Saito - arXiv preprint math/0505472, 2005 - arxiv.org
… 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 …
invariants of singularities in positive characteristic. We give in this setting a positive answer to a …
Bernstein-Sato polynomials for general ideals vs. principal ideals
M Mustaţă - Proceedings of the American Mathematical Society, 2022 - ams.org
… 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. …
polynomial bf (s) are negative … formula relating the Bernstein-Sato polynomials of a and g. …
F-thresholds and Bernstein-Sato polynomials
M Mustata, S Takagi, K Watanabe - arXiv preprint math/0411170, 2004 - arxiv.org
… 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 multiplier ideals in characteristic … of an ideal a in characteristic zero and the invariants of …
[HTML][HTML] D-modules, Bernstein–Sato polynomials and F-invariants of direct summands
… 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 …
We also relate the Bernstein–Sato polynomial in R with the F-thresholds and the F-jumping …
Bernstein–Sato polynomials of arbitrary varieties
N Budur, M Mustaţa, M Saito - Compositio Mathematica, 2006 - cambridge.org
… –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 …
ideals, and also a criterion for rational singularities in terms of the maximal root of the polynomial …
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