Formal-local structure of the Hilbert scheme of points on three-dimensional complex affine space around special monomial ideals
We show that the formal completion of the Hilbert scheme of points in ℂ³ at subschemes carved out by powers of the maximal ideal corresponding to the origin is given as the critical locus of a homogeneous cubic function. In particular, the Hilbert scheme is formal-locally a cone around these disting...
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
University of British Columbia
2016
|
| Online Access: | http://hdl.handle.net/2429/57843 |