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Exceptional sequences of line bundles and spherical twists: a toric example

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Abstract

Exceptional sequences of line bundles on a smooth projective toric surface are automatically full when they can be constructed via augmentation. By using spherical twists, we give examples that there are also exceptional sequences which can not be constructed this way but are nevertheless full.

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  1. Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany

    Andreas Hochenegger

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  1. Andreas Hochenegger
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Correspondence to Andreas Hochenegger.

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Hochenegger, A. Exceptional sequences of line bundles and spherical twists: a toric example. Beitr Algebra Geom 54, 311–322 (2013). https://doi.org/10.1007/s13366-012-0088-4

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  • DOI: https://doi.org/10.1007/s13366-012-0088-4

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