We explicitly compute canonical liftings modulo p(2) in a sense of Achinger-Zdanowicz of Dwork hypersurfaces. The computation involves studying a compatibility between Hodge filtrations and a crystalline Frobenius. In particular, remarkably, we explicitly compute a partial data of the crystalline Frobenius modulo p(2).
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Queen Mary Univ London, Ctr Theoret Phys, Sch Phys & Astron, 327 Mile End Rd, London E1 4NS, EnglandQueen Mary Univ London, Ctr Theoret Phys, Sch Phys & Astron, 327 Mile End Rd, London E1 4NS, England
Berman, David S.
He, Yang-Hui
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London Inst Math Sci, Royal Inst, London W1S 4BS, England
City Univ London, Dept Math, London EC1V 0HB, England
Univ Oxford, Merton Coll, Oxford OX1 4JD, England
NanKai Univ, Sch Phys, Tianjin 300071, Peoples R ChinaQueen Mary Univ London, Ctr Theoret Phys, Sch Phys & Astron, 327 Mile End Rd, London E1 4NS, England
He, Yang-Hui
Hirst, Edward
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London Inst Math Sci, Royal Inst, London W1S 4BS, England
City Univ London, Dept Math, London EC1V 0HB, EnglandQueen Mary Univ London, Ctr Theoret Phys, Sch Phys & Astron, 327 Mile End Rd, London E1 4NS, England
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Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Leung, Naichung Conan
Wan, Tom Y. H.
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Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China