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math.AG2008
Zariski decomposition of b-divisors
Alex Kuronya, Catriona Maclean
Based on a recent work by Thomas Bauer reproving the existence of Zariski decompositions for surfaces, we construct a b-divisorial analogue of Zariski decomposition in all dimensio…
math.AG2005
Explicit Noether-Lefschetz for arbitrary threefolds
Angelo Felice Lopez, Catriona Maclean
We study the Noether-Lefschetz locus of a very ample line bundle L on an arbitrary smooth threefold Y. Building on results of Green, Voisin and Otwinowska, we give explicit bounds,…