Monteiro Fernandes, Teresa; Sabbah, Claude On the de Rham complex of mixed twistor \(\mathcal{D}\)-modules. (English) Zbl 1312.14059 Int. Math. Res. Not. 2013, No. 21, 4961-4984 (2013). Summary: Given a complex manifold \(S\), we introduce for each complex manifold \(X\) a \(t\)-structure on the bounded derived category of \(\mathbb{C}\)-constructible complexes of \(\mathcal O_S\)-modules on \(X\times S\). We prove that the de Rham complex of a holonomic \(\mathcal D_{X\times S/S}\)-module which is \(\mathcal O_S\)-flat as well as its dual object is perverse relatively to this \(t\)-structure. This result applies to mixed twistor \(\mathcal D\)-modules. Cited in 1 ReviewCited in 5 Documents MSC: 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 32C38 Sheaves of differential operators and their modules, \(D\)-modules PDFBibTeX XMLCite \textit{T. Monteiro Fernandes} and \textit{C. Sabbah}, Int. Math. Res. Not. 2013, No. 21, 4961--4984 (2013; Zbl 1312.14059) Full Text: DOI arXiv