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math.AG1999
Birational classification of moduli spaces of vector bundles over
Aidan Schofield
The depth of a vector bundle E over the projective plane P^2 is the largest integer h such that [E]/h is in the Grothendieck group of coherent sheaves on P^2 where [E] is the class…
math.AG1999
Birational classification of moduli spaces of representations of quivers
Aidan Schofield
Let αbe a Schur root; let h=hcf_v(α(v)) and let p = 1 - < α/h,α/h >. Then a moduli space of representations of dimension vector αis birational to p h by h matrices up to simultaneo…
math.RA1999
Semi-invariants of quivers for arbitrary dimension vectors
Aidan Schofield, Michel Van den Bergh
The representations of dimension vector of the quiver Q can be parametrised by a vector space on which an algebraic group $\Gl(α)$ acts so that the set of orbits is bi…