Root numbers and ranks in positive characteristic

B Conrad; K Conrad; HA Helfgott

doi:10.1016/j.aim.2005.06.013

Root numbers and ranks in positive characteristic

B Conrad
, K Conrad
, HA Helfgott

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

19 Citations (Scopus)

Abstract

For a global field K and an elliptic curve E_eta over K(T), Silverman's specialization theorem implies that rank(E_eta(K(T)))

Translated title of the contribution	Root numbers and ranks in positive characteristic
Original language	English
Pages (from-to)	684 - 731
Number of pages	48
Journal	Advances in Mathematics
Volume	198 (2)
DOIs	https://doi.org/10.1016/j.aim.2005.06.013
Publication status	Published - Dec 2005

Bibliographical note

Publisher: Academic Press
Other identifier: IDS number 993IF

Access to Document

10.1016/j.aim.2005.06.013

http://tinyurl.com/38vey8

Handle.net

Persistent link

Cite this

@article{7149d2ad02dc4778921979121d9e975a,

title = "Root numbers and ranks in positive characteristic",

abstract = "For a global field K and an elliptic curve E\_eta over K(T), Silverman's specialization theorem implies that rank(E\_eta(K(T))) ",

author = "B Conrad and K Conrad and HA Helfgott",

note = "Publisher: Academic Press Other identifier: IDS number 993IF",

year = "2005",

month = dec,

doi = "10.1016/j.aim.2005.06.013",

language = "English",

volume = "198 (2)",

pages = "684 -- 731",

journal = "Advances in Mathematics",

issn = "1090-2082",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Root numbers and ranks in positive characteristic

AU - Conrad, B

AU - Conrad, K

AU - Helfgott, HA

N1 - Publisher: Academic Press Other identifier: IDS number 993IF

PY - 2005/12

Y1 - 2005/12

N2 - For a global field K and an elliptic curve E_eta over K(T), Silverman's specialization theorem implies that rank(E_eta(K(T)))

AB - For a global field K and an elliptic curve E_eta over K(T), Silverman's specialization theorem implies that rank(E_eta(K(T)))

U2 - 10.1016/j.aim.2005.06.013

DO - 10.1016/j.aim.2005.06.013

M3 - Article (Academic Journal)

SN - 1090-2082

VL - 198 (2)

SP - 684

EP - 731

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Root numbers and ranks in positive characteristic

Abstract

Bibliographical note

Access to Document

Handle.net

Fingerprint

Cite this