The p-adic Simpson correspondence due to Faltings(Adv Math 198(2):847-862,2005)is a p-adic analogue of non-abelian Hodge theory.The following is the main result of this article:The correspondence for line bundles can ...The p-adic Simpson correspondence due to Faltings(Adv Math 198(2):847-862,2005)is a p-adic analogue of non-abelian Hodge theory.The following is the main result of this article:The correspondence for line bundles can be enhanced to a rigid analytic morphism of moduli spaces under certain smallness conditions.In the complex setting,Simpson shows that there is a complex analytic morphism from the moduli space for the vector bundles with integrable connection to the moduli space of representations of a finitely generated group as algebraic varieties.We give a p-adic analogue of Simpson’s result.展开更多
文摘The p-adic Simpson correspondence due to Faltings(Adv Math 198(2):847-862,2005)is a p-adic analogue of non-abelian Hodge theory.The following is the main result of this article:The correspondence for line bundles can be enhanced to a rigid analytic morphism of moduli spaces under certain smallness conditions.In the complex setting,Simpson shows that there is a complex analytic morphism from the moduli space for the vector bundles with integrable connection to the moduli space of representations of a finitely generated group as algebraic varieties.We give a p-adic analogue of Simpson’s result.
