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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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