On the local geometry of moduli spaces of vector bundles

1995/05/25 by Ziv Ran, Ran, Ziv · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9505026

openalex publication_date 1995/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a canonical description of the formal moduli space of a vector bundle on a variety; as an application, we prove the closedness of certain differential forms on moduli corresponding to the trace form on the endomorphism algebra of the bundle.

Cited by

• Introduction to moduli spaces and Dirac geometry

Related

• Local structure of the moduli space of vector bundles over curves
• 25 open questions about vector bundles and their moduli
• Resolution of Diagonals and Moduli Spaces
• Moduli of vector-bundles on surfaces
• Moduli spaces and locally symmetric varieties