AI 中文总结
本文证明丰富稳定性足以将Teleman量子化应用于箭图模空间的普遍表示自同态丛,从而推出其无穷小刚性,并回答了先前工作中的开放问题,且该条件对互素维数向量保证Picard秩最大。
AI 中文摘要
我们证明,丰富稳定性足以将Teleman量子化应用于箭图模空间上普遍表示的自同态丛,从而特别地推出其无穷小刚性。这回答了我们在与Brecan、Franzen和Reineke早先关于普遍丛的层上同调工作中留下的一个开放问题。这一充分性使得若干近期结果在尽可能广泛的范围内适用,仅受限于丰富稳定性,而对于互素维数向量,该稳定性保证了模空间的Picard秩达到最大。
英文摘要
We show that ample stability suffices to apply Teleman quantisation to the endomorphism bundle of the universal representation on a quiver moduli space, and thus in particular to deduce its infinitesimal rigidity. This answers a question left open in our earlier work with Brecan, Franzen, and Reineke on the sheaf cohomology of universal bundles. This sufficiency makes several recent results applicable in the widest possible range, subject only to ample stability, which for coprime dimension vectors guarantees that the Picard rank of the moduli space is maximal.
Comments8 pages. Comments are welcome