抛物槽轮模和滤波Kronecker模

Pub Date : 2020-05-03 DOI:10.1215/21562261-10428418

Sanjay Amrutiya, U. Dubey

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引用次数: 1

摘要

利用我们在早期工作中引入的滤波Kronecker模的模，我们给出了Alvarez Consul和A.King意义上的纯抛物槽轮的函数模构造。我们还使用S.G.Langton的K.Yokogawa结果的一个版本来推导抛物线槽轮模量的投影率。作为函数模构造的一个应用，我们可以得到模栈层次上的态射。

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Moduli of parabolic sheaves and filtered Kronecker modules

We give functorial moduli construction of pure parabolic sheaves, in the sense of Alvarez-Consul and A. King, using the moduli of filtered Kronecker modules which we introduced in our earlier work. We also use a version of S. G. Langton's result due to K. Yokogawa to deduce the projectivity of moduli of parabolic sheaves. As an application of functorial moduli construction, we can get the morphisms at the level of moduli stacks.

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