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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von Tarig Abdelgadir (MPI Bonn)

Quivers of sections on toric orbifolds

Despite the importance of linear series in the theory of algebraic varieties, an appropriate analogue for algebraic stacks does not exist. For projective toric orbifolds, we use quivers and generalizations of moduli spaces of quiver representations to give a stacky analogue to linear series. As a further application, we alter our construction to comment on the McKay correspondence.