论文标题
皮卡德数字16的K3表面的hodge猜想
The Hodge conjecture for powers of K3 surfaces of Picard number 16
论文作者
论文摘要
我们研究了K3表面幂的Hodge猜想,并表明,如果Kuga--satake对应关系是通用Picard Number 16的K3表面的代数,则Hodge猜想对于该家族中任何K3表面的所有力量都具有。
We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga--Satake correspondence is algebraic for a family of K3 surfaces of generic Picard number 16, then the Hodge conjecture holds for all powers of any K3 surface in that family.