Gorenstein curve singularities of genus three (Q6592698)

This paper classifies isolated Gorenstein curve singularities in genus three based on their analytic germs. Additionally, for each family of singularities of the same type, the author shows that it corresponds to a connected component of a stratum of abelian differentials with the same type of zero orders. The author also provides a thorough introduction to the classification and moduli theory of Gorenstein curve singularities, as well as their connections to the classical geometry of algebraic curves.