Výsledky vyhledávání - "Palvannan, Bharathwaj"

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An ergodic approach towards an equidistribution result of Ferrero--Washington

Autor: Lee, Jungwon, Palvannan, Bharathwaj

An important ingredient in the Ferrero--Washington proof of the vanishing of cyclotomic $\mu$-invariant for Kubota--Leopoldt $p$-adic $L$-functions is an equidistribution result which they established using the Weyl criterion. The purpose of our manu

Externí odkaz: http://arxiv.org/abs/2207.09620

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Codimension two cycles in Iwasawa theory and tensor product of Hida families

Autor: Lei, Antonio, Palvannan, Bharathwaj

The purpose of this paper is to build on results in {\it{higher codimension Iwasawa theory}}. The setting of our results involves Galois representations arising as cyclotomic twist deformations associated to (i) the tensor product of two cuspidal Hid

Externí odkaz: http://arxiv.org/abs/1901.09301

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Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction

Autor: Lei, Antonio, Palvannan, Bharathwaj

A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa main conjecture, they prove a relationship between analytic objects

Externí odkaz: http://arxiv.org/abs/1806.07214

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On free resolutions of Iwasawa modules

Autor: Nichifor, Alexandra, Palvannan, Bharathwaj

Let $\Lambda$ (isomorphic to $\mathbb{Z}_p[[T]]$) denote the usual Iwasawa algebra and $G$ denote the Galois group of a finite Galois extension $L/K$ of totally real fields. When the non-primitive Iwasawa module over the cyclotomic $\mathbb{Z}_p$-ext

Externí odkaz: http://arxiv.org/abs/1707.01485

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On Selmer groups and factoring $p$-adic $L$-functions

Autor: Palvannan, Bharathwaj

Samit Dasgupta has proved a formula factoring a certain restriction of a 3-variable Rankin-Selberg $p$-adic $L$-function as a product of a 2-variable $p$-adic $L$-function related to the adjoint representation of a Hida family and a Kubota-Leopoldt $

Externí odkaz: http://arxiv.org/abs/1605.01026

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Height one specializations of Selmer groups

Autor: Palvannan, Bharathwaj

We provide applications to studying the behavior of Selmer groups under specialization. We consider Selmer groups associated to four dimensional Galois representations coming from (i) the tensor product of two cuspidal Hida families $F$ and $G$, (ii)

Externí odkaz: http://arxiv.org/abs/1510.08386

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