Abstract
In this chapter, we study admissible variations of mixed twistor structure and their variant. Let X be a complex manifold with a normal crossing hypersurface D. Let \(\mathcal{V}\) be a smooth \(\mathcal{R}_{X({\ast}D)}\)-triple with a filtration W such that \((\mathcal{V},W)_{\vert X\setminus D}\) is a variation of mixed twistor structure. We are interested in the degeneration at any points of D. The relative monodromy filtration should control the weight filtration of the degenerated objects. If it is satisfied, \((\mathcal{V},W)\) is called an admissible variation of mixed twistor structure.
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References
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Mochizuki, T. (2015). Admissible Mixed Twistor Structures and Their Variants. In: Mixed Twistor D-modules. Lecture Notes in Mathematics, vol 2125. Springer, Cham. https://doi.org/10.1007/978-3-319-10088-3_9
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DOI: https://doi.org/10.1007/978-3-319-10088-3_9
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10087-6
Online ISBN: 978-3-319-10088-3
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