论文标题
在形态下的KLT对推到阿贝利亚品种
Pushforwards of klt pairs under morphisms to abelian varieties
论文作者
论文摘要
让$ f $是从klt对$（x，δ）到Abelian品种$ a $，$ m \ geq1 $ a有理数的形态和$ d $ a Cartier Divisor上的$ x $，因此我们证明，捆绑$ f _*\ MATHCAL {O} _X（d）$由等值基因回调后全球生成，并且具有陈式江分解，以及一些相关的结果。当$ x $不规则时，这些应用于$ \ Mathcal {o} _x（d）$的一些有效结果。
Let $f$ be a morphism from a klt pair $(X, Δ)$ to an abelian variety $A$, $m\geq1$ a rational number and $D$ a Cartier divisor on $X$ such that $D\sim_{\mathbb Q}m(K_X+Δ)$. We prove that the sheaf $f_*\mathcal{O}_X(D)$ becomes globally generated after pullback by an isogeny and has the Chen-Jiang decomposition, along with some related results. These are applied to some effective results for $\mathcal{O}_X(D)$ when $X$ is irregular.
