## Wild twistor $${\mathcal D}$$-modules.(English)Zbl 1219.32013

Miwa, Tetsuji (ed.) et al., Algebraic analysis and around in honor of Professor Masaki Kashiwara’s 60th birthday. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-51-8/hbk). Advanced Studies in Pure Mathematics 54, 293-353 (2009).
Summary: We propose a definition of (polarized) wild twistor $$\mathcal D$$-modules, generalizing to objects with irregular singularities that of (polarized) regular twistor $$\mathcal D$$-modules. We give a precise analysis in dimension one.
For the entire collection see [Zbl 1160.32002].

### MSC:

 32S40 Monodromy; relations with differential equations and $$D$$-modules (complex-analytic aspects) 32C38 Sheaves of differential operators and their modules, $$D$$-modules 32L25 Twistor theory, double fibrations (complex-analytic aspects) 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)
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