PomeDefinition 19.6.18.51940EF88F4F Let $\Delta _{\bullet }$ be an Okounkov test curve relative to $\Delta $. We define the Duistermaat–Heckman measure $\operatorname{DH}(\Delta _{\bullet })$ as
\[ \operatorname{DH}(\Delta _{\bullet })\coloneqq G[\Delta _{\bullet }]_*(\operatorname{vol}). \]
It is a Radon measure on $\mathbb {R}$, since $G[\Delta _{\bullet }]$ is finite on $\operatorname{Int}\Delta $.
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