中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：谢启鸿 教授 （复旦大学数学系）
题 目：Decomposition of De Rham Complexes with Smooth Horizontal Coefficients for Semistable Reductions
时 间：12.05（星期五）,15:30-16:30
地 点：数学院南楼N913室
摘要：
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/p^2 Z. As an application, we prove the Kollar vanishing theorem in positive characteristic for a semistable S-morphism f:X->Y which is liftable over Z/p^2 Z, where all concerned horizontal divisors are smooth over Y.
