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

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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",

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

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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).

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

Abstract

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