Higgs bundles and fundamental group schemes
نویسندگان
چکیده
منابع مشابه
Stable Bundles and Holonomy Group Schemes of Varieties
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H(X,C) = H(X)⊕H(X) = H(X,OX)⊕H(X,ΩX). Therefore, homomorphisms π1(X) → C are the same as an element of H(X,OX), i.e. a holomorphic line bundle of degree 0, and an element of H(X,ΩX), i.e. a holomorphic 1-form. In these notes, we describe an analogous correspondence for the case of represenations into a nonabelian Lie Group G, focusing in particular on the case G = GL(n,C) [5]. Theorems are give...
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متن کاملHiggs Bundles and Holomorphic Forms
For a complex manifold X which has a holomorphic form ̟ of odd degree k, we endow E = ⊕ p≥a Λ (p,0)(X) with a Higgs bundle structure θ given by θ(Z)(φ) := {i(Z)̟} ∧ φ. The properties such as curvature and stability of these and other Higgs bundles are examined. We prove (Theorem 2, section 2, for k > 1) E and additional classes of Higgs subbundles of E do not admit Higgs-Hermitian-Yang-Mills metr...
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ژورنال
عنوان ژورنال: Advances in Geometry
سال: 2019
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advgeom-2018-0035