Algebraic Surfaces of General Type with Small c21 in Positive Characteristic
2008 ◽
Vol 191
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pp. 111-134
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Keyword(s):
AbstractWe establish Noether’s inequality for surfaces of general type in positive characteristic. Then we extend Enriques’ and Horikawa’s classification of surfaces on the Noether line, the so-called Horikawa surfaces. We construct examples for all possible numerical invariants and in arbitrary characteristic, where we need foliations and deformation techniques to handle characteristic 2. Finally, we show that Horikawa surfaces lift to characteristic zero.
Keyword(s):
1998 ◽
Vol 50
(2)
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pp. 261-290
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1967 ◽
Vol 58
(3)
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pp. 911-915
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1992 ◽
Vol 28
(5)
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pp. 679-707
1992 ◽
pp. 166-175
Keyword(s):
2013 ◽
Vol 149
(10)
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pp. 1667-1684
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Keyword(s):
1968 ◽
Vol 20
(1-2)
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pp. 170-192
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