论文标题
Morrison - 奇异品种的Kawamata锥体猜想
The Morrison--Kawamata cone conjecture for singular symplectic varieties
论文作者
论文摘要
我们证明了Morrison-Kawamata Cone猜想是针对具有$ \ q $的原始象征性品种，具有$ \ q $ - 事实和终端奇异性，具有$ b_2 \ geq 5 $，我们从中得出，例如，我们从中得出了这些品种的最小模型的有限性，最适合异构体。为了证明我们沿着单片组的一些结果建立的猜想，这本身可能是有趣的，例如，主要特殊除数中的反射是整体的杂货单构型操作员，并与Bionational Transtomations一起提供的单型操作员一起，产生了单型单体模摩术组的半领产品分解的单型单型型棚屋壳架isometeries。
We prove the Morrison--Kawamata cone conjecture for projective primitive symplectic varieties with $\Q$-factorial and terminal singularities with $b_2\geq 5$, from which we derive for instance the finiteness of minimal models of such varieties, up to isomorphisms. To prove the conjecture we establish along the way some results on the monodromy group which may be interesting in their own right, such as the fact that reflections in prime exceptional divisors are integral Hodge monodromy operators which, together with monodromy operators provided by birational transformations, yield a semidirect product decomposition of the monodromy group of Hodge isometries.
