Irregular Hodge Numbers for Rigid <i>G</i>2-Connections

نویسندگان

چکیده

Certain rigid irregular $G_2$-connections constructed by the first-named author are related via pullbacks along a finite covering and Fourier transform to local systems on punctured projective line. This kind of property was first observed Katz for hypergeometric connections used Sabbah Yu compute Hodge filtrations connections. strategy can also be applied aforementioned we jumping indices dimensions their filtrations.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab168