92 citations · 473 across the 45 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
math.AG2008★ 15 cited
A syzygetic approach to the smoothability of zero-dimensional schemes
Daniel Erman, Mauricio Velasco
We consider the question of which zero-dimensional schemes deform to a collection of distinct points; equivalently, we ask which Artinian k-algebras deform to a product of fields.…
math.AC2008★ 4 cited
The Semigroup of Betti Diagrams
Daniel Erman
The recent proof of the Boij-Soederberg conjectures reveals new structure about Betti diagrams of modules, giving a complete description of the cone of Betti diagrams. We begin to…
math.AG2008★ 92 cited
Hilbert schemes of 8 points
Dustin A. Cartwright, Daniel Erman, Mauricio Velasco +1
The Hilbert scheme H^d_n of n points in A^d contains an irreducible component R^d_n which generically represents n distinct points in A^d. We show that when n is at most 8, the Hil…