A bound on the genus of a curve with Cartier operator of small rank
2018 ◽
Vol 68
(3)
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pp. 569-577
Abstract Ekedahl showed that the genus of a curve in characteristic $$p>0$$ p > 0 with zero Cartier operator is bounded by $$p(p-1)/2$$ p ( p - 1 ) / 2 . We show the bound $$p+p(p-1)/2$$ p + p ( p - 1 ) / 2 in case the rank of the Cartier operator is 1, improving a result of Re.
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2011 ◽
Vol 63
(6)
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pp. 1254-1283
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2012 ◽
Vol 67
(5-6)
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pp. 206-210
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2016 ◽
Vol 71
(1-2)
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pp. 411-422
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