论文标题

部分可观测时空混沌系统的无模型预测

Geometric representability of 1-cycles on rationally connected threefolds

论文作者

Voisin, Claire

论文摘要

我们证明,对于任何合理连接的三倍$ x $,都存在一个光滑的投射表面$ s $和$ 1 $ cycles的$ x $的家族,该$ x $由$ s $参数化,诱导了亚伯 - 雅各比异态$ {\ rm alb alb}(\ rm alb}(s)(s)\ cong j^3(x)$。该声明以前以一些平滑的Fano三倍而闻名。

We prove that for any rationally connected threefold $X$, there exists a smooth projective surface $S$ and a family of $1$-cycles on $X$ parameterized by $S$, inducing an Abel-Jacobi isomorphism ${\rm Alb}(S)\cong J^3(X)$. This statement was previously known for some classes of smooth Fano threefolds.

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