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)|
|Number of pages||16|
|Journal||Mathematical Research Letters|
|Publication status||Published - Nov 2010|
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