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

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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 languageEnglish (US)
Pages (from-to)1013-1028
Number of pages16
JournalMathematical Research Letters
Volume17
Issue number6
Publication statusPublished - Nov 2010

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ASJC Scopus subject areas

  • Mathematics(all)

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