On Minkowski decomposition of Okounkov bodies on a Del Pezzo surface

We show that on a blow up of $P^2$ in $3$ general points there exists a finite set of nef divisors $P_1,ldots,P_s$ such that the Okounkov body $Delta(D)$ of an arbitrary effective $R$--divisor $D$ on $X$ is the Minkowski sum
 
 Delta(D)=sum_{i=1}^s a_iDelta(P_i) (1)
 &#1...

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Bibliographic Details
Main Author: Patrycja Łuszcz-Świdecka
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2011-03-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/119