We prove a sharp lower bound for the essential minimum of a nontranslate variety in certain abelian varieties.This uses and generalises a result of Galateau. Our bound is a new step in the direction of an abelian analogue by David and Philippon of a toric conjecture of Amoroso and David and has applications in the framework of anomalous intersections.
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机译：我们证明了某些阿贝尔品种中非翻译品种的基本最小值的急剧下界，这使用并概括了Galateau的结果。我们的界限是朝着由大卫和菲利普（David and Philippon）提出的阿莫罗索和大卫的复曲面猜想向阿贝拉类似物迈进的新一步，并且在反常相交的框架中得到了应用。
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