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Multipoint Okounkov bodies by Trusiani, Antonio is a scholarly article available to read on EtoBox.
What is Multipoint Okounkov bodies about?
Starting from the data of a big line bundle $L$ on a projective manifold $X$ with a choice of $N\geq 1$ different points on $X$ we provide a new construction of $N$ Okounkov bodies which encodes important geometric features of ($L\to X,p_{1},\dots,p_{N}$) such as the volume of $L$, the (moving) multipoint Seshadri constant of $L$ at $p_{1},\dots,p_{N}$, and the possibility to construct K\"ahler packings centered at $p_{1},\dots,p_{N}$. Toric manifolds and surfaces are examined in detail.
- Author
- Trusiani, Antonio
- Published
- 2018
- Language
- EN