Algebra publication
Title
Abstract blowing down
Author(s)
M. Van den Bergh.
Year
1998
Abstract
Assume that $X$ is a surface over an algebraically closed field
$k$. Let $\tilde{X}$ be obtained from $X$ by blowing up a smooth point and
let $L$ be the exceptional curve. Let
$\coh(X)$ be the category of coherent sheaves on $X$. In this note we
show how to recover $\coh({X})$ from $\coh(\tilde{X})$, if we know
the object
$\Oscr_L(L)$.
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