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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von Andreas Hochenegger

Exceptional Sequences on Toric Surfaces

The derived category is an interesting invariant of a variety, but usually not easily accessible. One way to gain some understanding is by looking for exceptional sequences, which form a generating set of the derived category. In this talk, I will focus on the case of exceptional sequences of line bundles on toric surfaces. I will review known results with the focus on constructing such sequences.