Convex Bodies Associated to Linear Series

@inproceedings{LAZARSFELD2008ConvexBA,
  title={Convex Bodies Associated to Linear Series},
  author={ROBERT LAZARSFELD and MIRCEA MUSTAŢǍ},
  year={2008}
}
  • ROBERT LAZARSFELD, MIRCEA MUSTAŢǍ
  • Published 2008
In his interesting papers [33] and [35], Okounkov showed in passing that one could associate a convex body to a linear series on a projective variety, and then use convex geometry to study such linear systems. Although Okounkov was essentially working in the classical setting of ample line bundles, it turns out that the construction goes through for an arbitrary big divisor. Moreover, one can recover and extend from this viewpoint most of the fundamental results from the asymptotic theory of… CONTINUE READING
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