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

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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.
corrections made, references added, 46 pages, Latex 2e. To appear in International Journal of Mathematics

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