A de Rham-Higgs comparison for mixed-Hodge-module-inspired subcomplexes is established in special positive-characteristic cases, yielding decomposition and vanishing theorems when the logarithmic cotangent bundle splits into small-rank subbundles.
Kato, Logarithmic structures of Fontaine-Illusie, Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988), 191-224, Johns Hopkins Univ
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De Rham-Higgs comparison for mixed Hodge modules in positive characteristic
A de Rham-Higgs comparison for mixed-Hodge-module-inspired subcomplexes is established in special positive-characteristic cases, yielding decomposition and vanishing theorems when the logarithmic cotangent bundle splits into small-rank subbundles.