Advanced Studies in Pure Mathematics

Wild twistor $\mathscr{D}$-modules

Claude Sabbah

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Abstract

We propose a definition of (polarized) wild twistor $\mathscr{D}$-modules, generalizing to objects with irregular singularities that of (polarized) regular twistor $\mathscr{D}$-modules. We give a precise analysis in dimension one.

Article information

Source
Algebraic Analysis and Around: In honor of Professor Masaki Kashiwara's 60th birthday, T. Miwa, A. Matsuo, T. Nakashima and Y. Saito, eds. (Tokyo: Mathematical Society of Japan, 2009), 293-353

Dates
Received: 3 March 2008
Revised: 27 August 2008
First available in Project Euclid: 28 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543447763

Digital Object Identifier
doi:10.2969/aspm/05410293

Mathematical Reviews number (MathSciNet)
MR2499560

Zentralblatt MATH identifier
1219.32013

Subjects
Primary: 32S40: Monodromy; relations with differential equations and D-modules
Secondary: 14C30: Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture 34Mxx: Differential equations in the complex domain [See also 30Dxx, 32G34]

Keywords
D-module twistor structure polarization flat connection harmonic metric

Citation

Sabbah, Claude. Wild twistor $\mathscr{D}$-modules. Algebraic Analysis and Around: In honor of Professor Masaki Kashiwara's 60th birthday, 293--353, Mathematical Society of Japan, Tokyo, Japan, 2009. doi:10.2969/aspm/05410293. https://projecteuclid.org/euclid.aspm/1543447763


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