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Rigid Analytic p-Adic Simpson Correspondence for Line Bundles
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作者 ziyan song 《Communications in Mathematics and Statistics》 SCIE 2022年第4期739-756,共18页
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
关键词 Arithmetic algebraic geometry p-Adic Hodge theory Rigid geometry Higgs bundles
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