Abstract
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.
Funder
Chinese Government Scholarship
Publisher
Springer Science and Business Media LLC
Reference7 articles.
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