3 citations · 6 across the 8 of their papers we have counts for
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On the topological aspects of arithmetic elliptic curves
Kazuma Morita
In this short note, we shall construct a certain topological family which contains all elliptic curves over Q and, as an application, show that this family provides some geometric…
Generalization of the theory of mixed Hodge structures and its application
Kazuma Morita
In this paper, we shall generalize the theory of mixed Hodge structures due to Deligne and obtain a subcategory GMHS in the category of mixed Hodge structures such that we have Ext…
Generalization of the theory of Sen in the semi-stable representation case
Kazuma Morita
For a semi-stable representation V, we will construct a subspace D_{π-Sen}(V) of C_p\otimes_{Q_p}V endowed with a linear derivation \nabla^{(π)}. The action of \nabla^{(π)} on D_{π…
Crystalline and semi-stable representations in the imperfect residue field case
Kazuma Morita
Let K be a p-adic local field with residue field k such that [k:k^p]=p^e<\infty and V be a p-adic representation of Gal(\bar{K}/K). Then, by using the theory of p-adic differential…