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Moduli space of principal sheaves over projective varieties

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arxiv math/0206277 v2 pith:JDR3YQYR submitted 2002-06-26 math.AG

Tomas L. Gomez , Ignacio Sols This is my paper · ORCID
classification math.AG
keywords principalprojectivemodulinotionobjectsramanathanspaceallowing
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Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a complex projective curve and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to the case of higher dimension, allowing also objects which we call semistable principal G-sheaves.

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  1. Proper moduli spaces of orthosymplectic complexes

    math.AG 2025-12 conditional novelty 7.0 of 10

    Semistable orthosymplectic complexes on smooth projective varieties admit proper good moduli spaces, giving a new compactification for O_n and Sp_{2n} principal bundle moduli.

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