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Bernstein–Sato polynomial
Known as:
B-function
, Bernstein-Sato polynomial
, B-function lemma
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In mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Bernstein () and Sato…
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Related topics
Related topics
6 relations
Approximation theory
Bernstein polynomial
Distribution (mathematics)
Macaulay2
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Support Vector Machine (SVM) Based Sybil Attack Detection in Vehicular Networks
Pengwenlong Gu
,
Rida Khatoun
,
Y. Begriche
,
A. Serhrouchni
IEEE Wireless Communications and Networking…
2017
Corpus ID: 37112393
Vehicular networks have been drawing special atten- tion in recent years, due to its importance in enhancing driving experience…
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2016
2016
Bernstein-Sato Polynomials on Normal Toric Varieties
Jen-Chieh Hsiao
,
L. Matusevich
2016
Corpus ID: 119635393
We generalize the Bernstein-Sato polynomials of Budur, Mustata and Saito to ideals in normal semigroup rings. In the case of…
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Review
2010
Review
2010
Algorithms for Bernstein--Sato polynomials and multiplier ideals
C. Berkesch
,
A. Leykin
International Symposium on Symbolic and Algebraic…
2010
Corpus ID: 33730581
The Bernstein--Sato polynomial (or global b-function) is an important invariant in singularity theory, which can be computed…
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2010
2010
Zeta functions and Bernstein–Sato polynomials for ideals in dimension two
Bart Bories
2010
Corpus ID: 119600915
For a nonzero ideal $\mathcal {I}\lhd \mathbf {C}[x_{1},\ldots,x_{n}]$, with $0\in \operatorname {supp}\mathcal {I}$, a…
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2009
2009
Principal intersection and bernstein-sato polynomial of an affine variety
Daniel Andres
,
V. Levandovskyy
,
J. Martín-Morales
International Symposium on Symbolic and Algebraic…
2009
Corpus ID: 2747775
We present a general algorithm for computing an intersection of a left ideal of an associative algebra over a field with a…
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2005
2005
Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for Monomial Ideals
Nero Budur
,
M. Mustaţă
,
M. Saito
2005
Corpus ID: 14220057
We give a combinatorial description of the roots of the Bernstein–Sato polynomial of a monomial ideal using the Newton polyhedron…
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Highly Cited
2002
Highly Cited
2002
Space-charge effects in high brightness electron beam emittance measurements
S. Anderson
,
J. Rosenzweig
,
G. LeSage
,
J. Crane
2002
Corpus ID: 44882983
The measurement of emittance in space-charge dominated, high brightness beam systems is investigated from conceptual…
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2001
2001
Constructibility of the Set of Polynomials with a Fixed Bernstein-Sato Polynomial: an Algorithmic Approach
A. Leykin
Journal of symbolic computation
2001
Corpus ID: 9773723
Letnanddbe positive integers, letkbe a field and letP(n,d ;k)be the space of the non-zero polynomials innvariables of degree at…
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Highly Cited
1997
Highly Cited
1997
Algorithms for the b-function and D-modules associated with a polynomial
T. Oaku
1997
Corpus ID: 54782267
Highly Cited
1995
Highly Cited
1995
Calcium Regulation by Calcium-Binding Proteins in Neurodegenerative Disorders
C. Heizmann
,
K. Braun
Neuroscience Intelligence Unit
1995
Corpus ID: 28249432
1. Introduction.- 2. Structures of EF-Hand Ca2+-Binding Proteins and Annexins.- 3. Gene Structures and Chromosomal Assignments of…
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