1 citations · 1 across the 2 of their papers we have counts for
4 papers
On the linear strand of an edge ideal
Mike Roth, Adam Van Tuyl
Let I(G) be the edge ideal associated to a simple graph G. We study the graded Betti numbers that appear in the linear strand of the minimal free resolution of I(G).
The affine stratification number and the moduli space of curves
Mike Roth, Ravi Vakil
We define the affine stratification number asn X of a scheme X. For X equidimensional, it is the minimal number k such that there is a stratification of X by locally closed affine…
Abel-Jacobi maps associated to smooth cubic threefolds
Joe Harris, Mike Roth, Jason Starr
We pose some questions about spaces parametrizing rational curves on rationally connected varieties. We give a partial answer for cubic threefolds. Many of our results were previou…
Curves of small degree on cubic threefolds
Joe Harris, Mike Roth, Jason Starr
We describe the Hilbert schemes parametrizing curves on a cubic threefold of degree at most 5. In a forthcoming paper, we use this description to give a new proof and extension of…