论文标题
衍生等效品种的不规则纤维
Irregular fibrations of derived equivalent varieties
论文作者
论文摘要
我们研究了在其有限的衍生类别的衍生等效性下，多样性纤维的行为。特别是，我们证明了在多种一般类型上存在不规则振动的衍生不变性，将非理性铅笔的情况扩展到了$ g \ geq 2 $的曲线上。我们还证明，这种振动的衍生等效性会引起其一般纤维之间的衍生等效性。
We study the behavior of irregular fibrations of a variety under derived equivalence of its bounded derived category. In particular we prove the derived invariance of the existence of an irregular fibration over a variety of general type, extending the case of irrational pencils onto curves of genus $g\geq 2$. We also prove that a derived equivalence of such fibrations induces a derived equivalence between their general fibers.
