3 citations · 6 across the 8 of their papers we have counts for
8 papers
Birch and Swinnerton-Dyer conjecture in the complex multiplication case and the congruent number problem
Kazuma Morita
For an elliptic curve over , the Birch and Swinnerton-Dyer conjecture predicts that the rank of Mordell-Weil group is equal to the order of the zero of …
L-function and rational points on an elliptic curve via the classical number theory
Kazuma Morita
L-function and rational points on an elliptic curve via the classical number theory.
Algebraic cycles and the triangulated category of mixed motives
Kazuma Morita
In this paper, we shall give a candidate for the t-structure on the triangulated category of mixed motives due to Voevodsky.
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…