Geodesic
THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS
Forum of Mathematics, Sigma, Tome 3 (2015)

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We find defining equations for the Shimura curve of discriminant 15 over $\mathbb{Z}[1/15]$. We then determine the graded ring of automorphic forms over the 2-adic integers, as well as the higher cohomology. We apply this to calculate the homotopy groups of a spectrum of ‘topological automorphic forms’ associated to this curve, as well as one associated to a quotient by an Atkin–Lehner involution. 
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     author = {TYLER LAWSON},
     title = {THE {SHIMURA} {CURVE} {OF} {DISCRIMINANT} 15 {AND} {TOPOLOGICAL} {AUTOMORPHIC} {FORMS}},
     journal = {Forum of Mathematics, Sigma},
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     year = {2015},
     doi = {10.1017/fms.2015.1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2015.1/}
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TYLER LAWSON. THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS. Forum of Mathematics, Sigma, Tome 3 (2015). doi: 10.1017/fms.2015.1

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