Smoothness of the moduli scheme of instanton vector bundles with $c_1=0$, $c_2=n$ on $P^3$

A. S. Tikhomirov


Abstract: The scheme $M(P^3,n)$ of moduli of mathematical instanton bundles with Chern classes $c_1=0$, $c_2=n\geqslant1$, is studied on projective space $P^3$ over the field $\mathbf C$. It is proved that $M(P^3,n)$ is a smooth equidimensional scheme of dimension $8n-3$.
Bibliography: 7 titles.

UDC: 513.6

MSC: Primary 14F05; Secondary 14D20

Received: 22.12.1987

 English version: Mathematics of the USSR-Izvestiya, 1990, 35:1, 233–243

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