Newton-Okounkov bodies of exceptional curve valuations

Carlos Galindo, Francisco Monserrat, Julio José Moyano-Fernández +1

We prove that the Newton-Okounkov body of the flag $E_{\bullet }:=\left\{X=X_r\supset E_r\supset \{q\}\right\}$, defined by the surface $X$ and the exceptional divisor $E_r$ gi…