胶合的艺术
The (he)art of gluing
摘要：
我们引入了一个概念的偏序集索引Bridgeland切片的三角范畴，并显示如何胶合阿贝尔切片上的心脏有界$t$ -结构自然诱导一个家庭的反常$t$ -结构。我们的设置概括了Collins和Polishchuk的设置。作为推论，我们从三角范畴上的$t$ -结构理论中恢复了几个构造.特别是，我们重新发现莱文定理：贝林森-苏莱消失猜想意味着泰特动机的存在。
英文摘要：
We introduce a notion of gluability for poset-indexed Bridgeland slicings on triangulated categories and show how a gluing abelian slicing on the heart of a bounded $t$-structure naturally induces a family of perverse $t$-structures. Our setup generalises the one of Collins and Polishchuk. As a corollary we recover several constructions from the theory of $t$-structures on triangulated categories. In particular we rediscover Levine's theorem: the Beilinson-Soulé vanishing conjecture implies the existence of Tate motives.
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