Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over \mathbb P₃

2002/06/30 by I. Coanda, A. Tikhomirov, G. Trautmann
Mathematics · #math.AG #msc:14D20

paper · pdf

published as Int.J.Math. 14 (2003) 1-46 · corrections made, references added, 46 pages, Latex 2e. To appear in International Journal of Mathematics

arxiv created 2002/07/25 · arxiv updated 2009/11/30

Abstract

We prove that the space of mathematical instantons with second Chern class 5 over \mathbb P₃ is smooth and irreducible. Unified and simple proofs for the same statements in case of second Chern class ≤ 4 are contained.

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