混合扭量D-模的Riemann-Hilbert对应
Riemann-Hilbert correspondence for mixed twistor D-Modules
摘要：
在arXiv：1204.1331的意义下，我们引入了相对完整$\mathcal D$ -模的正则性概念.通过构造右拟逆函子，证明了正则相对完整模的有界导出范畴到相对可构造复形的有界导出范畴的解函子本质满射.当限制到正则混合扭量$\mathcal D$-模下的相对$\mathcal D$ -模时，这个函子满足左拟逆性质。
英文摘要：
We introduce the notion of regularity for a relative holonomic $\mathcal D$-module in the sense of arXiv:1204.1331. We prove that the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes is essentially surjective by constructing a right quasi-inverse functor. When restricted to relative $\mathcal D$-modules underlying a regular mixed twistor $\mathcal D$-module, this functor satisfies the left quasi-inverse property.
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