A proof of the Kawamata-Morrison Cone Conjecture for holomorphic symplectic varieties of K3 or generalized Kummer deformation type
A proof of the Kawamata-Morrison Cone Conjecture for holomorphic symplectic varieties of K3 or generalized Kummer deformation type
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K3 或广义 Kummer 变形类型的全纯辛簇的 Kawamata-Morrison 锥猜想的证明
DOI：
10.1093/imrn/rnv119
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Yoshioka
中科院分区：
文献类型：
--
作者：
E.;Markman;K.;Yoshioka
证明了一个关于射影不可约全纯辛流形变形的Kawamata-Morrison充分锥猜想等价于曲面上点的Hilbert方案或广义库默簇.这样的品种的双理性模型的集合的有限性如下。
We prove a version of the Kawamata–Morrison ample cone conjecture for projective irreducible holomorphic symplectic manifolds deformation equivalent to either the Hilbert scheme ofpoints on asurface or a generalized Kummer variety. The finiteness of the set of birational models of such varieties follows.