当前位置: X-MOL 学术Bull. des Sci. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Unfolding of the unramified irregular singular generalized isomonodromic deformation
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2019-09-20 , DOI: 10.1016/j.bulsci.2019.102795
Michi-aki Inaba

We introduce an unfolded moduli space of connections, which is an algebraic relative moduli space of connections on complex smooth projective curves, whose generic fiber is a moduli space of regular singular connections and whose special fiber is a moduli space of unramified irregular singular connections. On the moduli space of unramified irregular singular connections, there is a subbundle of the tangent bundle defining the generalized isomonodromic deformation produced by the Jimbo-Miwa-Ueno theory. On an analytic open subset of the unfolded moduli space of connections, we construct a non-canonical lift of this subbundle, which we call an unfolding of the unramified irregular singular generalized isomonodromic deformation. Our construction of an unfolding of the unramified irregular singular generalized isomonodromic deformation is not compatible with the asymptotic property in the unfolding theory established by Hurtubise, Lambert and Rousseau which gives unfolded Stokes matrices for an unfolded linear differential equation in a general framework.



中文翻译:

未分叉的不规则奇异广义等单变形的展开

我们介绍了连接的未折叠模空间,它是复杂光滑投影曲线上的连接的代数相对模空间,其通用纤维是规则奇异连接的模空间,其特殊纤维是无分支不规则奇异连接的模空间。在未分叉的不规则奇异连接的模空间上,有一个正切束的子束,它定义了Jimbo-Miwa-Ueno理论所产生的广义等单变形。在连接的展开模空间的解析开放子集上,我们构造了该子束的非规范提升,我们称其为未分叉的不规则奇异广义等单峰形变形的展开。

更新日期:2019-09-20
down
wechat
bug