Tensor product theorem for Hitchin pairs -- an algebraic approach

DOI10.5802/aif.2677zbMath1248.14046arXiv1010.1731OpenAlexW2963742015MaRDI QIDQ424843

A. J. Parameswaran, Vikraman Balaji

Publication date: 6 June 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1731

zbMATH Keywords

tensor productssemistabilitygroups schemseHitchin pairsTannaka categories

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20)

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Cites Work

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• Stable bundles and integrable systems
• Some remarks on the instability flag
• The fundamental group-scheme
• Higgs bundles and local systems
• Instability in invariant theory
• On the semisimplicity of tensor products of representations of groups
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Semistable principal bundles. II: Positive characteristics
• Hitchin fibration and endoscopy
• YANG–MILLS EQUATION FOR STABLE HIGGS SHEAVES
• Étale Slices for Algebraic Transformation Groups in Characteristic p
• The Self-Duality Equations on a Riemann Surface
• On a Theorem of Bogomolov on Chern Classes of Stable Bundles
• HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
• Uniform instability in reductive groups.
• The action of the Frobenius map on rank 2 vector bundles in characteristic 2