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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 q-ample, for a natural number q, if tensoring with high powers of L kills coherent sheaf cohomology above dimension q. Thus 0-ampleness is the usual notion of ampleness. Intuitively, a line bundle is q-ample if it is positive “in all but at most q directions”.

We prove some of the basic properties of q-ample 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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CHANGE OF LOCATION PLEASE NOTE!!! IDA DARWIN BLOCK 14 Faculty of English, Room GR-05 BNY Mellon Centre, 160 Queen Victoria St, London, EC4V 4LA

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