An explicit infinite homotopy in nonabelian Hodge theory in positive characteristic

Abstract

This short note is extracted from Section 3 and Appendix of the paper entitled with Intersection de Rham complexes in positive characteristic by the same named authors, where an explicit infinite homotopy from a Higgs complex to the Frobenius pushforward of the corresponding de Rham complex in positive characteristic has been provided. The verification details, which are omitted therein, are provided here.

13 pages. Comments are very welcome! arXiv admin note: text overlap with arXiv:1904.06651