Exceptional sequences of invertible sheaves on rational surfaces
2011 ◽
Vol 147
(4)
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pp. 1230-1280
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Keyword(s):
AbstractIn this article we consider exceptional sequences of invertible sheaves on smooth complete rational surfaces. We show that to every such sequence one can associate a smooth complete toric surface in a canonical way. We use this structural result to prove various theorems on exceptional and strongly exceptional sequences of invertible sheaves on rational surfaces. We construct full strongly exceptional sequences for a large class of rational surfaces. For the case of toric surfaces we give a complete classification of full strongly exceptional sequences of invertible sheaves.
2013 ◽
Vol 149
(11)
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pp. 1839-1855
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Keyword(s):
2017 ◽
Vol 16
(10)
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pp. 1750197
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2016 ◽
Vol 31
(17)
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pp. 1650102
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