论文标题

抛物线托架和过滤的Kronecker模块的模量

Moduli of parabolic sheaves and filtered Kronecker modules

论文作者

Amrutiya, Sanjay, Dubey, Umesh

论文摘要

从Alvarez-Consul和A. King的意义上讲,我们使用我们在早期工作中引入的过滤Kronecker模块的模量,为纯抛物线或骨的功能模量结构。我们还使用S. G. Langton的结果版本,这是由于K. Yokogawa推断出最大尺寸的纯抛物线或骨带的模量的预测性。作为功​​能模量结构的应用,我们可以在模量堆栈的水平上获得形态。

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 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 pure parabolic sheaves of maximal dimension. As an application of functorial moduli construction, we can get the morphisms at the level of moduli stacks.

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