Revista Matemática Iberoamericana

Stable Higgs $G$-sheaves

Tomás L. Gómez and Ignacio Sols

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For a connected reductive group $G$, we generalize the notion of (semi)stable Higgs $G$-bundles on curves to smooth projective schemes of higher dimension, allowing also Higgs $G$-sheaves, and construct the corresponding moduli space.

Article information

Rev. Mat. Iberoamericana, Volume 24, Number 2 (2008), 703-719.

First available in Project Euclid: 11 August 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14D22: Fine and coarse moduli spaces
Secondary: 14D20: Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}

Moduli spaces principal bundles Higgs bundles


Gómez, Tomás L.; Sols, Ignacio. Stable Higgs $G$-sheaves. Rev. Mat. Iberoamericana 24 (2008), no. 2, 703--719.

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