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arxiv: 1403.3924 · v3 · pith:SXL2BHEZnew · submitted 2014-03-16 · 🧮 math.AG

On Higgs bundles on Elliptic Surfaces

classification 🧮 math.AG
keywords bundleshiggscategoriescertainellipticequivalenceestablishnon-isotrivial
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The aim of this paper is to establish an equivalence of certain categories of Higgs bundles on a non-isotrivial elliptic surface $\pi: X \rightarrow C$ with $\chi(X) > 0$ and certain categories of Parabolic Higgs bundles on $C$

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