Eclatement de r\'eseaux de quadriques et bord des instantons de degr\'e 3

Nicolas Perrin

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Eclatement de r\'eseaux de quadriques et bord des instantons de degr\'e 3

Nicolas Perrin

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Abstract

In their article [1], L. Gruson and M. Skiti have constructed a birationnal map from the variety $\I$ of mathematical instantons of degree 3 to the variety of nets of quadrics in $\pd$. They describe by this way two irreducible componants of the boundary of $\I$ associated to the divisor of nets which contain a two-plane degenerated quadric and the divisor of L\" uroth nets. In this article we describe an irreducible componante of the boundary of $\I$ as the exceptionnal divisor of the blowing-up of the closed set of nets of quadrics of rank 3.

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BibTeX RIS

Nicolas Perrin. 2000-03-29. Eclatement de r\'eseaux de quadriques et bord des instantons de degr\'e 3. https://arxiv.org/abs/math/0003201

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