How deep should the nut notches be filed?

Are my strings at the right height for the first few frets? Are the nut notches filed correctly? Does the guitar buzz when picking chords in the first few frets?

Our tip for checking the correct action on the first frets:

1.) Press the string in the 3rd fret

2.) Check the distance above the first fret and the string. There should be a gap of about 0.2mm (about the thickness of a credit card) here. The string should not rest on the fret bar. Too low = "buzzing".

If there is still more slack there, you can have the nut filed down by a professional. It's best to go to an Artesano guitar dealer and get advice.