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Magnetic activity in M-dwarfs present enigmatic questions: On the one hand they have higher field strengths and larger filling factors than the magnetic field on the Sun, on the other hand, they are fully convective and their atmospheres are more neutral, hence they do not have an undershoot layer for magnetic flux storage and as we show here, cannot have small-scale dynamo action in their photospheres either. We present a discussion of these facts and propose a new numerical model to investigate M-dwarf magnetism.

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