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math.AG2016
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…
math.AG2016
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…