Musings on Q(1=4): Arithmetic spin structures on elliptic curves

Kirti Joshi

doi:10.4310/MRL.2010.v17.n6.a1

Musings on Q(1=4): Arithmetic spin structures on elliptic curves

Kirti Joshi

Mathematics

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

Abstract

We introduce and study arithmetic spin structures on elliptic curves. We show that there is a unique isogeny class of elliptic curves over F _p² which carries a unique arithmetic spin structure and provides a geometric object of weight 1=2 in the sense of Deligne and Grothendieck. This object is thus a candidate for ℚ(1=4).

Original language	English (US)
Pages (from-to)	1013-1028
Number of pages	16
Journal	Mathematical Research Letters
Volume	17
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2010.v17.n6.a1
State	Published - Nov 2010

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4310/MRL.2010.v17.n6.a1

Cite this

@article{8c4d1445e0af4a22a622329d299a4f5b,

title = "Musings on Q(1=4): Arithmetic spin structures on elliptic curves",

abstract = "We introduce and study arithmetic spin structures on elliptic curves. We show that there is a unique isogeny class of elliptic curves over F p2 which carries a unique arithmetic spin structure and provides a geometric object of weight 1=2 in the sense of Deligne and Grothendieck. This object is thus a candidate for ℚ(1=4).",

author = "Kirti Joshi",

year = "2010",

month = nov,

doi = "10.4310/MRL.2010.v17.n6.a1",

language = "English (US)",

volume = "17",

pages = "1013--1028",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press, Inc.",

number = "6",

}

TY - JOUR

T1 - Musings on Q(1=4)

T2 - Arithmetic spin structures on elliptic curves

AU - Joshi, Kirti

PY - 2010/11

Y1 - 2010/11

N2 - We introduce and study arithmetic spin structures on elliptic curves. We show that there is a unique isogeny class of elliptic curves over F p2 which carries a unique arithmetic spin structure and provides a geometric object of weight 1=2 in the sense of Deligne and Grothendieck. This object is thus a candidate for ℚ(1=4).

AB - We introduce and study arithmetic spin structures on elliptic curves. We show that there is a unique isogeny class of elliptic curves over F p2 which carries a unique arithmetic spin structure and provides a geometric object of weight 1=2 in the sense of Deligne and Grothendieck. This object is thus a candidate for ℚ(1=4).

UR - https://www.scopus.com/pages/publications/78149439450

UR - https://www.scopus.com/pages/publications/78149439450#tab=citedBy

U2 - 10.4310/MRL.2010.v17.n6.a1

DO - 10.4310/MRL.2010.v17.n6.a1

M3 - Article

AN - SCOPUS:78149439450

SN - 1073-2780

VL - 17

SP - 1013

EP - 1028

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 6

ER -

Musings on Q(1=4): Arithmetic spin structures on elliptic curves

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this