Equations aux différences finies et déterminants d'intégrales de fonctions multiformes

François Loeser; Claude Sabbah

doi:10.1007/BF02566659

Equations aux différences finies et déterminants d'intégrales de fonctions multiformes

François Loeser
, Claude Sabbah

Sorbonne Université

Research output: Contribution to journal › Article › peer-review

Abstract

We give a formula which computes the determinant of a matrix whose entries are integrals of algebraic differential forms multiplied by a product of complex powers of polynomials. In this formula enters the characteristic polynomial of some monodromies associated with this family of polynomials.

Original language	French
Pages (from-to)	458-503
Number of pages	46
Journal	Commentarii Mathematici Helvetici
Volume	66
Issue number	1
DOIs	https://doi.org/10.1007/BF02566659
Publication status	Published - 1 Dec 1991

Access to Document

10.1007/BF02566659

Cite this

@article{a00cec6b598242a68cd40029f8dbb2d1,

title = "Equations aux diff{\'e}rences finies et d{\'e}terminants d'int{\'e}grales de fonctions multiformes",

abstract = "We give a formula which computes the determinant of a matrix whose entries are integrals of algebraic differential forms multiplied by a product of complex powers of polynomials. In this formula enters the characteristic polynomial of some monodromies associated with this family of polynomials.",

author = "Fran{\c c}ois Loeser and Claude Sabbah",

year = "1991",

month = dec,

day = "1",

doi = "10.1007/BF02566659",

language = "Fran{\c c}ais",

volume = "66",

pages = "458--503",

journal = "Commentarii Mathematici Helvetici",

issn = "0010-2571",

number = "1",

}

TY - JOUR

T1 - Equations aux différences finies et déterminants d'intégrales de fonctions multiformes

AU - Loeser, François

AU - Sabbah, Claude

PY - 1991/12/1

Y1 - 1991/12/1

N2 - We give a formula which computes the determinant of a matrix whose entries are integrals of algebraic differential forms multiplied by a product of complex powers of polynomials. In this formula enters the characteristic polynomial of some monodromies associated with this family of polynomials.

AB - We give a formula which computes the determinant of a matrix whose entries are integrals of algebraic differential forms multiplied by a product of complex powers of polynomials. In this formula enters the characteristic polynomial of some monodromies associated with this family of polynomials.

UR - https://www.scopus.com/pages/publications/51249173756

U2 - 10.1007/BF02566659

DO - 10.1007/BF02566659

M3 - Article

AN - SCOPUS:51249173756

SN - 0010-2571

VL - 66

SP - 458

EP - 503

JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

IS - 1

ER -

Equations aux différences finies et déterminants d'intégrales de fonctions multiformes

Abstract

Access to Document

Other files and links

Cite this