Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over ${\mathbb P}_3$

A. Tikhomirov; G. Trautmann; I. Coanda

arxiv: math/0206064 · v2 · submitted 2002-06-07 · 🧮 math.AG

Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over {mathbb P}₃

I. Coanda , A. Tikhomirov , G. Trautmann This is my paper

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keywords chernclassinstantonsmathbbmathematicalsecondspacecase

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We prove that the space of mathematical instantons with second Chern class 5 over ${\mathbb P}_3$ is smooth and irreducible. Unified and simple proofs for the same statements in case of second Chern class $\leq 4$ are contained.

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Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over {mathbb P}₃

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