Zero loci of Bernstein-Sato ideals

被引：9

作者：

Budur, Nero ^{[1
]}

van der Veer, Robin ^{[1
]}

Wu, Lei ^{[2
]}

Zhou, Peng ^{[3
]}

机构：

[1] Katholieke Univ Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium

[2] Univ Utah, Dept Math, 155 S 1400 E, Salt Lake City, UT 84112 USA

[3] Inst Hautes Etud Sci, 35 Route Chartres, F-91440 Bures Sur Yvette, France

来源：

INVENTIONES MATHEMATICAE | 2021年 / 225卷 / 01期

关键词：

14F10; 13N10; 32C38; 32S40; 32S55; VANISHING PROXIMITY; SYSTEMS;

D O I：

10.1007/s00222-020-01025-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a conjecture of the first author relating the Bernstein-Sato ideal of a finite collection of multivariate polynomials with cohomology support loci of rank one complex local systems. This generalizes a classical theorem of Malgrange and Kashiwara relating the b-function of a multivariate polynomial with the monodromy eigenvalues on the Milnor fibers cohomology.

引用

页码：45 / 72

页数：28

共 50 条

[1] Zero loci of Bernstein-Sato ideals-II
Nero Budur
Robin van der Veer
Lei Wu
Peng Zhou
[J]. Selecta Mathematica, 2021, 27
[2] Zero loci of Bernstein-Sato ideals-II
Budur, Nero
van der Veer, Robin
Wu, Lei
Zhou, Peng
[J]. SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (03):
[3] Zero loci of Bernstein–Sato ideals
Nero Budur
Robin van der Veer
Lei Wu
Peng Zhou
[J]. Inventiones mathematicae, 2021, 225 : 45 - 72
[4] On the computation of Bernstein-Sato ideals
Ucha, JM
Castro-Jiménez, FJ
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2004, 37 (05) : 629 - 639
[5] BERNSTEIN-SATO IDEALS AND LOCAL SYSTEMS
Budur, Nero
[J]. ANNALES DE L INSTITUT FOURIER, 2015, 65 (02) : 549 - 603
[6] Bernstein-Sato ideals and hyperplane arrangements
Wu, Lei
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (07)
[7] Local Bernstein-Sato ideals: Algorithm and examples
Bahloul, Rouchdi
Oaku, Toshinori
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2010, 45 (01) : 46 - 59
[8] On Bernstein-Sato ideals for central line arrangements
Atikaw, Sebsibew
Abebaw, Tilahun
Bogvad, Rikard
[J]. COMMUNICATIONS IN ALGEBRA, 2021, 49 (10) : 4123 - 4132
[9] BERNSTEIN-SATO THEORY FOR ARBITRARY IDEALS IN POSITIVE CHARACTERISTIC
Quinlan-Gallego, Eamon
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (03) : 1623 - 1660
[10] BERNSTEIN-SATO POLYNOMIALS FOR GENERAL IDEALS VS. PRINCIPAL IDEALS
Mustata, Mircea
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (09) : 3655 - 3662

← 1 2 3 4 5 →