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Abstract: We compute the homotopy groups of spectra associated by a theorem of Lurie tothe Shimura curves of discriminants 6, 10, and 14, beginning with a computationof integral rings of automorphic forms on these curves. As an application, wefind that a generalized truncated Brown-Peterson spectrum BP<2> is an E \inftyring spectrum at the prime 3.



Author: Michael Hill, Tyler Lawson

Source: https://arxiv.org/



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