Partially positive line bundles
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If you have a question about this talk, please contact Mustapha Amrani.
Moduli Spaces
Define a line bundle L on a projective variety to be qample, for a natural number q, if tensoring with high powers of L kills coherent sheaf cohomology above dimension q. Thus 0ampleness is the usual notion of ampleness. Intuitively, a line bundle is qample if it is positive “in all but at most q directions”.
We prove some of the basic properties of qample line bundles. Related ideas have been used by Ottem to define what an “ample subvariety” of any codimension should mean.
This talk is part of the Isaac Newton Institute Seminar Series series.
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