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The Newton–Okounkov body determination conjecture for Picard numbers
Let $S$ be a smooth projective surface and let $D$ be an ample divisor on $S$ . Consider the set of Newton–Okounkov bodies of $D$ with respect to all rank- $2$ valuations of $K(S)$ .…
Conjectureopenalgebraic-surfaces newton-okounkov-bodies picard-numbersarXiv posted 2 days ago

The Newton–Okounkov body determination conjecture for Picard numbers