3 years ago

Multipoint Okounkov bodies.

Antonio Trusiani

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 give a new construction of $N$ Okounkov bodies that 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 $p_{1},\dots,p_{N}$.

Publisher URL: http://arxiv.org/abs/1804.02306

DOI: arXiv:1804.02306v3

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