Smooth Hilbert schemes
Tuesday, July 23, 2019 - 9:00am - 9:45am
Consider the Hilbert scheme parametrizing all closed subschemes in projective space with a fixed Hilbert polynomial. We present numerical conditions on the polynomial that completely characterize when the associated Hilbert scheme is smooth. In the smooth situation, our explicit description of the subschemes being parametrized also provides new insights into the global geometry. This talk is based on joint work with Roy Skjelnes.