Adithya Chakravarthy

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math.NT2024

The Iwasawa $μ$ -invariants of Elliptic Curves over $Q$

Adithya Chakravarthy

In this paper, we discuss a longstanding conjecture of Greenberg in the Iwasawa theory of elliptic curves. Greenberg's conjecture states that if $E / Q$ is an elliptic curve…

math.NT2024

The Iwasawa $μ$ -invariant of certain elliptic curves of analytic rank zero

Adithya Chakravarthy

This paper is about the Iwasawa theory of elliptic curves over the cyclotomic $Z_{p}$ -extension $Q^{cyc}$ of $Q$ . We discuss a deep conjecture of Gr…

math.NT2024

The non- $p$ -part of the fine Selmer group in a $Z_{p}$ -extension

Adithya Chakravarthy

Fix two distinct primes $p$ and $ℓ$ . Let $A$ be an abelian variety over $Q (ζ_{ℓ})$ , the cyclotomic field of $ℓ$ -th roots of unity. Suppose that $A(\mathbf{Q}(ζ_{\…

The Iwasawa μ-invariants of Elliptic Curves over Q

The Iwasawa μ-invariant of certain elliptic curves of analytic rank zero

The non-p-part of the fine Selmer group in a Zp​-extension

The Iwasawa $μ$ -invariants of Elliptic Curves over $Q$

The Iwasawa $μ$ -invariant of certain elliptic curves of analytic rank zero

The non- $p$ -part of the fine Selmer group in a $Z_{p}$ -extension