3 citations · 5 across the 4 of their papers we have counts for
5 papers · 1 filter
Hilbert scheme of a pair of codimension two linear subspaces
Dawei Chen, Izzet Coskun, Scott Nollet
We study the component H_n of the Hilbert scheme whose general point parameterizes a pair of codimension two linear subspaces in P^n for n > 2. We show that H_n is smooth and isomo…
On the dimension of the Hilbert scheme of curves
Dawei Chen
Consider a component of the Hilbert scheme whose general point corresponds to a degree d genus g smooth irreducible and nondegenerate curve in a projective variety X. We give lower…
Simply branched covers of an elliptic curve and the moduli space of curves
Dawei Chen
Consider genus g curves that admit degree d covers to an elliptic curve simply branched at 2g-2 points. Vary a branch point and the locus of such covers forms a one-parameter famil…
Log Minimal Model Program for the Kontsevich Space of Stable Maps
Dawei Chen
This work is inspired by conversations with Izzet Coskun and Joe Harris. We run the log minimal model program for the Kontsevich space of stable maps $\bar{\mathcal M}_{0,0}(\mathb…
Covers of Elliptic Curves and the Lower Bound for Slopes of Effective Divisors on
Dawei Chen
Consider genus curves that admit degree covers to elliptic curves only branched at one point with a fixed ramification type. The locus of such covers forms a one parameter…