标题： 具有有限群作用的簇的Cherednik代数的KZ函子的象 显示英文标题

标题： The image of the KZ functor for Cherednik algebras of varieties with finite group actions

摘要： 我们证明了从Cherednik代数的某一类模的范畴到Hecke代数的有限维模的KZ函子本质上是满的。然后我们开始利用这个结果来研究Riemann曲面上以及椭圆曲线乘积上的Cherednik代数的O-型范畴的类似物。特别是，我们给出了使这些范畴非零的参数条件。 显示英文摘要

摘要： We prove that the KZ functor from a certain category of modules for the Cherednik algebra to finite dimensional modules over the Hecke algebra is essentially surjective. Then we begin to use this result to study the analog of category O for Cherednik algebras on Riemann surfaces and on products of elliptic curves. In particular we give conditions on the parameters under which these categories are nonzero.