In this paper we study the derivatives of Frobenius and the derivatives of Hodge–Tate weights for families of Galois representations with triangulations.We generalize the Fontaine–Mazur L-invariant and use it to bui...In this paper we study the derivatives of Frobenius and the derivatives of Hodge–Tate weights for families of Galois representations with triangulations.We generalize the Fontaine–Mazur L-invariant and use it to build a formula which is a generalization of the Colmez–Greenberg–Stevens formula.For the purpose of proving this formula we show two auxiliary results called projection vanishing property and"projection vanishing implying L-invariants"property.展开更多
基金the National Natural Science Foundation of China(Grant No.11671137)。
文摘In this paper we study the derivatives of Frobenius and the derivatives of Hodge–Tate weights for families of Galois representations with triangulations.We generalize the Fontaine–Mazur L-invariant and use it to build a formula which is a generalization of the Colmez–Greenberg–Stevens formula.For the purpose of proving this formula we show two auxiliary results called projection vanishing property and"projection vanishing implying L-invariants"property.