Limites de fibres vectoriels dans ${\bf M}_{\mathbb{Q}_3}(0,2,0)$

Details Limites de fibres vectoriels dans ${\bf M}_{\mathbb{Q}_3}(0,2,0)$ Limites de fibres vectoriels dans ${\bf M}_{\mathbb{Q}_3}(0,2,0)$

2001-12-19

arxiv.org/abs/math/0112200v1

Mathematics

Algebraic Geometry

In french, 3 pages

Scientific paper

Let $\mathbb{Q_3}$ the smooth quadric in P^4 (the 4-dimensional projective
space). In this note we completely describe the closure of the open set of
vector bundles in ${\bf M}_{\mathbb{Q}_3}(0,2,0)$. This description gives
another example where the conditions given in math.AG/0112199 for a sheaf to be
limit of vector bundles are necessary and sufficient.

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