Which rational double points occur on del Pezzo surfaces?
Keyword(s):
We determine all configurations of rational double points that occur on RDP del Pezzo surfaces of arbitrary degree and Picard rank over an algebraically closed field $k$ of arbitrary characteristic ${\rm char}(k)=p \geq 0$, generalizing classical work of Du Val to positive characteristic. Moreover, we give simplified equations for all RDP del Pezzo surfaces of degree $1$ containing non-taut rational double points.
2018 ◽
Vol 19
(2)
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pp. 647-661
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2017 ◽
Vol 153
(4)
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pp. 820-850
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2019 ◽
Vol 83
(3)
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pp. 15-92
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2002 ◽
Vol 133
(2)
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pp. 223-233
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2009 ◽
Vol 9
(1)
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pp. 203-223
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2014 ◽
Vol 35
(7)
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pp. 2242-2268
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1978 ◽
Vol 71
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pp. 169-179
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Keyword(s):
2019 ◽
Vol 373
(3)
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pp. 1775-1843
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