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Polynomial Volume Bounds and Effective Birationality for Log Calabi-Yau Surfaces
We provide a uniform polynomial lower bound for the volume of an integral nef and big Weil divisor on a complex projective surface admitting an $\varepsilon$-log canonical log Calabi--Yau boundary. More precisely, the volume is bounded below by an absolute positive constant times $\varepsilon^9/(1+\
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