Convex bodies appearing as Okounkov bodies of divisors

@article{Kuronya2010ConvexBA,
  title={Convex bodies appearing as Okounkov bodies of divisors},
  author={A. Kuronya and Victor Lozovanu and C. Maclean},
  journal={Advances in Mathematics},
  year={2010},
  volume={229},
  pages={2622-2639}
}
Abstract Based on the work of Okounkov (Okounkov, 1996 [15] , 2003 [16] ), Lazarsfeld and Mustaţă (2009) [13] and Kaveh and Khovanskii (preprint) [10] have independently associated a convex body, called the Okounkov body, to a big divisor on a smooth projective variety with respect to a complete flag. In this paper we consider the following question: what can be said about the set of convex bodies that appear as Okounkov bodies? We show first that the set of convex bodies appearing as Okounkov… Expand
Okounkov bodies of finitely generated divisors
Newton-Okounkov bodies and Picard numbers on surfaces
Convex bodies and representation theory
Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs
Extended Okounkov bodies and multi-point Seshadri constants
A comparison of Newton-Okounkov polytopes of Schubert varieties
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 21 REFERENCES
Convex Bodies Associated to Linear Series
Volume functions of linear series
Brunn–Minkowski inequality for multiplicities
The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface
Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity
Multigraded Hilbert schemes
Basic algebraic geometry
Algebraic geometry
...
1
2
3
...