Publication: Area‐minimizing currents mod 2Q: Linear regularity theory
Area‐minimizing currents mod 2Q: Linear regularity theory
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De Lellis, C., Hirsch, J., Marchese, A., & Stuvard, S. (2020). Area‐minimizing currents mod 2Q: Linear regularity theory. Communications on Pure and Applied Mathematics, 21964. https://doi.org/10.1002/cpa.21964
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We establish a theory of Q‐valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to approximate efficiently area minimizing currents mod(p) when p = 2Q, and to establish a first general partial regularity theorem for every p in any dimension and codimension
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De Lellis, C., Hirsch, J., Marchese, A., & Stuvard, S. (2020). Area‐minimizing currents mod 2Q: Linear regularity theory. Communications on Pure and Applied Mathematics, 21964. https://doi.org/10.1002/cpa.21964