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A twistor approach to the Kontsevich complexes

2015/01/17 by Mochizuki, Takuro · 1 citation
#14F10 #32C38 #32S35 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1501.04145

Abstract

This is a note to revisit interesting results of H. Esnault, C. Sabbah, M. Saito and J.-D. Yu on the Kontsevich complexes from the viewpoint of mixed twistor D-modules. We explicitly describe the V-filtration of the mixed twistor D-modules and their relative de Rham complexes, associated to some meromorphic functions. We explain how such descriptions imply the results on the Kontsevich complexes.

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