4 papers
Smoothing surfaces on fourfolds
Scott Nollet, A. P. Rao
If are vector bundles of ranks on a smooth fourfold and is globally generated, it is well known that the…
Geometric Divisors in Normal Local Domains
John Brevik, Scott Nollet
Let A be the local ring at a point of a normal complex variety with completion R. Srinivas has asked about the possible images of the induced map from Cl A to Cl R over all geometr…
Grothendieck-Lefschetz Theorem with Base Locus
John Brevik, Scott Nollet
We compute the divisor class group of the general hypersurface Y of a complex projective normal variety X of dimension at least four containing a fixed base locus Z. We deduce that…
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…