Smoothable Gorenstein points via marked schemes and double-generic initial ideals

Cristina Bertone, Francesca Cioffi, Margherita Roggero

Over an infinite field $K$ with $\mathrm{char}(K)\ne 2,3$, we investigate smoothable Gorenstein $K$-points in a punctual Hilbert scheme and obtain the following results: (i) every…