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What is Hilbert Schemes of 8 Points Analysis about?

The paper investigates the Hilbert scheme Hnd of n points in affine d-space, specifically focusing on the case when n is at most 8. It establishes that Hnd is reducible if and only if n = 8 and d ≥ 4, identifying the components of the scheme and providing explicit equations for the reducible case. The authors also explore the geometry of standard graded Hilbert schemes and their implications for smoothability of algebras, culminating in several theorems that characterize these schemes and their intersection

Author

jshen3623

Language

EN