@inproceedings{65f5e377ab0647f79ee2959e417bc4a1,
title = "On the Mod p Iwasawa Theory for Elliptic Curves",
abstract = "In this note, we study the mod p behavior of Kato{\textquoteright}s Euler systems and fine Selmer groups for an elliptic curve with good reduction at a prime p≥5. We show that we observe a version of the λ-invariant formula for fine Selmer groups for congruent elliptic curves holds, as in the work of Greenberg–Vatsal, and formulate a mod p version of Kato{\textquoteright}s main conjecture.",
keywords = "11F67 (Secondary), 11G05, 11G40, 11R23 (Primary), Elliptic curves, Iwasawa theory, Supersingular primes",
author = "Kim, \{Chan Ho\} and R. Sujatha",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.; 4th International Conference on Class Groups of Number Fields and Related Topics, ICCGNFRT 2021 and 5th International Conference on Class Groups of Number Fields and Related Topics, ICCGNFRT 2022 ; Conference date: 21-11-2022 Through 24-11-2022",
year = "2024",
doi = "10.1007/978-981-97-6911-7\_2",
language = "English",
isbn = "9789819769100",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "25--48",
editor = "Kalyan Chakraborty and Azizul Hoque and Pandey, \{Prem Prakash\}",
booktitle = "Class Groups of Number Fields and Related Topics - ICCGNERT 2021 and 2022",
}