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Decomposition of
de Rham complexes with smooth horizontal coefficients
for semistable reductions
Qihong Xie |
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Vol. 254 (2011), No. 2, 465–497
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Abstract |
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We generalize Illusie’s result to prove the decomposition of the de Rham complex with smooth horizontal coefficients for a semistable S-morphism f : X → Y which is liftable over ℤ∕p2ℤ. As an application, we prove the Kollár vanishing theorem in positive characteristic for a semistable S-morphism f : X → Y which is liftable over ℤ∕p2ℤ, where all concerned horizontal divisors are smooth over Y . |
Keywords
de Rham complex, semistable reduction, positive
characteristic
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Mathematical Subject Classification 2010
Primary: 14F17
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Milestones
Received: 11 November 2010
Revised: 18 August 2011
Accepted: 10 October 2011
Published: 27 February 2012
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Authors |
| Qihong Xie | |
| School of Mathematical
Sciences Fudan University Shanghai, 200433 China |
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| http://homepage.fudan.edu.cn/qhxie/ | |
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