Two components of the boundary of the compactification of the variety of instantons
Nicolas Perrin
Abstract
We study two components of the boundary of the compactification of the variety I3 of instantons of degree three. We use the desciption of I3 as symetric (involutive) cubo-cubic transforms deduced from the Beilinson monade. It involves some geometry of curves and surfaces in P3. This allows us to distinguish two irreducible components which are in the closure of involutive cubo-cubic transforms. It gives us two irreducible components of the boundary of I3. Moreover, we show that the cubo-cubic transforms of one of these components are the inverse of the other one.
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