Relative Riemann-Hilbert correspondence in dimension one

Teresa Monteiro Fernandes; Claude Sabbah

doi:10.4171/PM/1997

Relative Riemann-Hilbert correspondence in dimension one

Teresa Monteiro Fernandes
, Claude Sabbah

Faculdade de Ciências, Universidade de Lisboa

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

4 Citations (Scopus)

Abstract

We prove that, in relative dimension one, the functor RH^S constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.

Original language	English
Pages (from-to)	149-159
Number of pages	11
Journal	Portugaliae Mathematica
Volume	74
Issue number	2
DOIs	https://doi.org/10.4171/PM/1997
Publication status	Published - 1 Jan 2017

Keywords

Adjoint functor
Constructibility
Regularity
Relative holonomic D-module

Access to Document

10.4171/PM/1997

Cite this

@article{092b988f56c44d9e8e3b3a041648d4e2,

title = "Relative Riemann-Hilbert correspondence in dimension one",

abstract = "We prove that, in relative dimension one, the functor RHS constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.",

keywords = "Adjoint functor, Constructibility, Regularity, Relative holonomic D-module",

author = "Fernandes, \{Teresa Monteiro\} and Claude Sabbah",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2017",

month = jan,

day = "1",

doi = "10.4171/PM/1997",

language = "English",

volume = "74",

pages = "149--159",

journal = "Portugaliae Mathematica",

issn = "0032-5155",

publisher = "European Mathematical Society Publishing House",

number = "2",

}

TY - JOUR

T1 - Relative Riemann-Hilbert correspondence in dimension one

AU - Fernandes, Teresa Monteiro

AU - Sabbah, Claude

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We prove that, in relative dimension one, the functor RHS constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.

AB - We prove that, in relative dimension one, the functor RHS constructed in a previous work ([9]) as a right quasi-inverse of the solution functor from the bounded derived category of relative D-modules with regular holonomic cohomology to that of complexes with relative constructible cohomology satisfies the left quasi-inverse property in a generic sense.

KW - Adjoint functor

KW - Constructibility

KW - Regularity

KW - Relative holonomic D-module

U2 - 10.4171/PM/1997

DO - 10.4171/PM/1997

M3 - Article

AN - SCOPUS:85033442886

SN - 0032-5155

VL - 74

SP - 149

EP - 159

JO - Portugaliae Mathematica

JF - Portugaliae Mathematica

IS - 2

ER -

Relative Riemann-Hilbert correspondence in dimension one

Abstract

Keywords

Access to Document

Fingerprint

Cite this