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arXiv · 1106.4743

Exceptional Sequences on Rational C*-Surfaces

Andreas Hochenegger·Nathan Owen Ilten
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Abstract

Inspired by Bondal's conjecture, we study the behavior of exceptional sequences of line bundles on rational C*-surfaces under homogeneous degenerations. In particular, we provide a sufficient criterion for such a sequence to remain exceptional under a given degeneration. We apply our results to show that, for toric surfaces of Picard rank 3 or 4, all full exceptional sequences of line bundles may be constructed via augmentation. We also discuss how our techniques may be used to construct noncommutative deformations of derived categories.

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Andreas Hochenegger, Nathan Owen Ilten. 2011-06-23. Exceptional Sequences on Rational C*-Surfaces. https://doi.org/10.1007/s00229-012-0591-9

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