On moduli spaces of 4- or 5-instanton bundles

1997/11/21 by F. Han, Han, F.
Mathematics · #14J60 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #alg-geom #math.AG #msc:14J60

paper · pdf · doi:10.48550/arxiv.alg-geom/9711028

Latex, 49 pages

arxiv created 1997/11/21 · openalex publication_date 1997/11/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the scheme of multi-jumping lines of an n-instanton bundle mainly for n≤ 5. We apply it to prove the irreducibility and smoothness of the moduli space of 5-instanton. Some particular situations with higher c₂ are also studied.

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