COTORSION OF ANTI-CYCLOTOMIC SELMER GROUPS ON AVERAGE

Debanjana Kundu; Florian Sprung

doi:10.1090/proc/16543

COTORSION OF ANTI-CYCLOTOMIC SELMER GROUPS ON AVERAGE

Research output: Contribution to journal › Article › peer-review

Abstract

For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic Zp-extension as one varies the prime p or the quadratic imaginary field in question.

Original language	English (US)
Pages (from-to)	521-535
Number of pages	15
Journal	Proceedings of the American Mathematical Society
Volume	152
Issue number	2
DOIs	https://doi.org/10.1090/proc/16543
State	Published - Feb 1 2024
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/proc/16543

Cite this

@article{1a57907ee05b465c9b64ab437058b1e6,

title = "COTORSION OF ANTI-CYCLOTOMIC SELMER GROUPS ON AVERAGE",

abstract = "For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic Zp-extension as one varies the prime p or the quadratic imaginary field in question.",

author = "Debanjana Kundu and Florian Sprung",

year = "2024",

month = feb,

day = "1",

doi = "10.1090/proc/16543",

language = "English (US)",

volume = "152",

pages = "521--535",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - COTORSION OF ANTI-CYCLOTOMIC SELMER GROUPS ON AVERAGE

AU - Kundu, Debanjana

AU - Sprung, Florian

PY - 2024/2/1

Y1 - 2024/2/1

N2 - For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic Zp-extension as one varies the prime p or the quadratic imaginary field in question.

AB - For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic Zp-extension as one varies the prime p or the quadratic imaginary field in question.

UR - http://www.scopus.com/inward/record.url?scp=85181834833&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85181834833&partnerID=8YFLogxK

U2 - 10.1090/proc/16543

DO - 10.1090/proc/16543

M3 - Article

AN - SCOPUS:85181834833

SN - 0002-9939

VL - 152

SP - 521

EP - 535

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

COTORSION OF ANTI-CYCLOTOMIC SELMER GROUPS ON AVERAGE

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this