论文标题

符号极性和马勒的猜想

Symplectic polarity and Mahler's conjecture

论文作者

Berezovik, Mark, Karasev, Roman

论文摘要

我们陈述了关于符号自动凸体体积的猜想,并表明它等于Mahler关于凸体及其欧几里得极性体积的猜想。我们还建立了符号自动体体的符号能力的下限和上限。

We state a conjecture about the volume of symplectically self-polar convex bodies and show that it is equivalent to Mahler's conjecture concerning the volume of a convex body and its Euclidean polar. We also establish lower and upper bounds for symplectic capacities of symplectically self-polar bodies.

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