The modulus of unfoldings of cusps in conformal geometry (Q652493)

The author gives a complete classification of generic 1-parameter unfoldings of germs of real analytic curves with a cuspidal point under conformal equivalence. He first studies the cusp curve as a parameterized curve in \(\mathbb C\)-space; then the complete modulus space is derived, for the germs of generic unfoldings of cusps singularities through the modulus of their associated diffeomorphisms. In the end, the author gives also a geometric interpretation of the results.