Ample subvarieties and q-ample divisors

  • Ottem J
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Abstract

We introduce a notion of ampleness for subschemes of any codimension using the theory of q-ample line bundles. We also investigate certain geometric properties satisfied by ample subvarieties, e.g. the Lefschetz hyperplane theorems and numerical positivity. Using these properties, we also construct a counterexample to the converse of the Andreotti-Grauert vanishing theorem. © 2012 Elsevier Inc..

Author-supplied keywords

  • Ample subschemes
  • Partially positive line bundles

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Authors

  • John Christian Ottem

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