Eclatement de réseaux de quadriques et bord des instantons de degré 3

Details Eclatement de réseaux de quadriques et bord des instantons de degré 3 Eclatement de réseaux de quadriques et bord des instantons de degré 3

2000-03-29

arxiv.org/abs/math/0003201v1

Mathematics

Algebraic Geometry

In french, published in the CRAS

Scientific paper

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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