Control Theorem for Bloch–Kato's Selmer Groups of p-Adic Representations

Control Theorem for Greenberg's Selmer G

Control Theorem for Greenberg's Selmer Groups of Galois Deformations

✍ Tadashi Ochiai 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 234 KB

We give sufficient conditions for the Selmer group of a p-adic deformation of a motive over a number field to be controlled. Then we apply this result to the Selmer groups of various Galois representations. For example, we treat the cyclotomic deformations and the Hida deformations of the representa