Eclatement de r\'eseaux de quadriques et bord des instantons de degr\'e 3
Algebraic Geometry
2016-09-07 v1
Abstract
In their article [1], L. Gruson and M. Skiti have constructed a birationnal map from the variety of mathematical instantons of degree 3 to the variety of nets of quadrics in . They describe by this way two irreducible componants of the boundary of 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 as the exceptionnal divisor of the blowing-up of the closed set of nets of quadrics of rank 3.
Keywords
Cite
@article{arxiv.math/0003201,
title = {Eclatement de r\'eseaux de quadriques et bord des instantons de degr\'e 3},
author = {Nicolas Perrin},
journal= {arXiv preprint arXiv:math/0003201},
year = {2016}
}
Comments
In french, published in the CRAS