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How can I get the scheme-theoretic support of coherent sheaf on a ruled surface with linear Hilbert bipolynomial ax+by+c?
I have pure sheaves of dimension 1 on a ruled surface, in paticular the Hirzebruch surface F$_e$=P($O \oplus O(-e)$) with linear Hilbert bipolynomial $P(x, y)=ax+by+c$.
A sheaf $E$ is pure of ...
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