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P-Ample Bundles and Their Chern Classes

Published online by Cambridge University Press:  22 January 2016

David Gieseker
David Gieseker*
Affiliation:
University of California Santa Cruz, California
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In [9], Hartshorne extended the concept of ampleness from line bundles to vector bundles. At that time, he conjectured that the appropriate Chern classes of an ample vector bundle were positive, and it was hoped that there would be some criterion for ampleness of vector bundles similar to Nakai’s criterion for line bundles. In the same paper, Hartshorne also introduced the notion of p-ample when the ground field had characteristic p, proved that a p-ample bundle was ample and asked if the converse were true.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 43 , September 1971 , pp. 91 - 116
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

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