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We show that a $K$-quasiregular $\omega$-curve from a Euclidean domain to aEuclidean space with respect to a covector $\omega$ is locally $(1/K)(\lVert\omega\rVert/|\omega|_{\ell_1})$-H\"older continuous. We also show thatquasiregular curves enjoy higher integrability.

Quasiregular curves: H\"older continuity and higher integrability