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| Cyclic Covers over Strongly Liftable Schemes |
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Citation： |
Qihong XIE.Cyclic Covers over Strongly Liftable Schemes[J].Chinese Annals of Mathematics B,2015,36(6):937~946 |
| Page view： 1364
Net amount： 996 |
Authors： |
Qihong XIE; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.\,11231003, 11422101) and the Shanghai
Center for Mathematical Sciences, Fudan University. |
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| Abstract： |
A smooth scheme $X$ over a field $k$ of positive characteristic is
said to be strongly liftable over $W_2(k)$, if $X$ and all prime
divisors on $X$ can be lifted simultaneously over $W_2(k)$. In this
paper, the author gives a criterion for those cyclic covers over
strongly liftable schemes that are still strongly liftable. As a
corollary, cyclic covers over projective spaces of dimension at
least three are strongly liftable over $W_2(k)$. |
Keywords： |
Cyclic cover, Strongly liftable scheme, Positive characteristic |
Classification： |
14F17, 14E30 |
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