论文标题
部分可观测时空混沌系统的无模型预测
On the integral Hodge conjecture for real abelian threefolds
论文作者
论文摘要
我们证明了几类真正的Abelian三倍类的真正积分霍奇猜想。例如，我们证明了真正的Abelian三倍$ a $的属性，其真正的locus $ a（\ Mathbb r）$连接，以及真正的Abelian Trix $ a $ a $ a $ a $ a = b \ times e $ a abelian surface $ b $ b $ b $ b $ b $ b $ b $ and elliptic curve $ e $与connection curveed curve $ e $搭配实际locus $ e（reall locus $ e（Math）$ e（\ Mathbb R）。此外，我们表明，每个真正的Abelian三倍都满足了真正的整体杂物猜想模型扭转，并将一般案例减少到Jacobian案例中。
We prove the real integral Hodge conjecture for several classes of real abelian threefolds. For instance, we prove the property for real abelian threefolds $A$ whose real locus $A(\mathbb R)$ is connected, and for real abelian threefolds $A$ which are a product $A = B \times E$ of an abelian surface $B$ and an elliptic curve $E$ with connected real locus $E(\mathbb R)$. Moreover, we show that every real abelian threefold satisfies the real integral Hodge conjecture modulo torsion, and reduce the general case to the Jacobian case.
