We generalize the logarithmic decomposition theorem of Deligne–Illusie to a filtered version.There are two applications.The easier one provides a mod p proof for a vanishing theorem in characteristic zero.The deeper ...We generalize the logarithmic decomposition theorem of Deligne–Illusie to a filtered version.There are two applications.The easier one provides a mod p proof for a vanishing theorem in characteristic zero.The deeper one gives rise to a positive characteristic analogue of a theorem of Deligne on the mixed Hodge structure attached to complex algebraic varieties.展开更多
文摘We generalize the logarithmic decomposition theorem of Deligne–Illusie to a filtered version.There are two applications.The easier one provides a mod p proof for a vanishing theorem in characteristic zero.The deeper one gives rise to a positive characteristic analogue of a theorem of Deligne on the mixed Hodge structure attached to complex algebraic varieties.
