科研之友
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摘要
In this article, a logahoric Higgs torsor is defined as a parahoric torsor with a logarith-mic Higgs field. For a connected complex reductive group G, we introduce a notion of stability for logahoric G(theta)-Higgs torsors on a smooth algebraic curve X, where G(theta) is a parahoric group scheme on X. In the case when the group G is the general linear group GL(n), we show that the stability condition of a parahoric torsor is equivalent to the stability of a parabolic bundle. A correspondence between semistable logahoric G(theta)-Higgs torsors and semistable equivariant logarithmic G-Higgs bundles allows us to construct the moduli space explicitly. This moduli space is shown to be equipped with an algebraic Poisson structure.
