论文标题
符号极性和马勒的猜想
Symplectic polarity and Mahler's conjecture
论文作者
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.