Deformations of elliptic fiber bundles in positive characteristic
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AbstractWe study the deformation theory of elliptic fiber bundles over curves in positive characteristics. As applications, we give examples of nonliftable elliptic surfaces in characteristics 2 and 3, which answer a question of Katsura and Ueno. Also, we construct a class of elliptic fibrations, whose liftability is equivalent to a conjecture of Oort concerning the liftability of automorphisms of curves. Finally, we classify deformations of bielliptic surfaces.
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2007 ◽
Vol 59
(4)
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pp. 499-522
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2004 ◽
Vol 19
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pp. 1987-2014
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2012 ◽
Vol 106
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pp. 225-286
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2000 ◽
Vol 40
(1)
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pp. 185-201
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2019 ◽
Vol 223
(1)
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pp. 277-300
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2017 ◽
Vol 14
(06)
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pp. 1750086
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1981 ◽
Vol 39
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pp. 470-471