Moduli space of principal sheaves over projective varieties

2002/06/26 by Tomás L. Gómez, Tomas L. Gomez, Gomez, Tomas L. +2 · 2 citations
Mathematics · #14D20 #14D22 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14D20 #msc:14D22

paper · pdf · doi:10.48550/arxiv.math/0206277

48 pages, LaTex2e (Improved exposition)

openalex publication_date 2002/06/26 · arxiv created 2003/01/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• A virtual structure for symplectic Higgs bundles
• Moduli spaces of twisted equivariant G-bundles over a curve

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