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- W1517163760 abstract "Let $K$ be the function field of a smooth curve over an algebraically closed field $k$. Let $X$ be a scheme, which is smooth and projective over $K$. Suppose that the cotangent bundle $Omega_{X/K}$ is ample. Let $R:={rm Zar}(X)(K)cap X)$ be the Zariski closure of the set of all $K$-rational points of $X$, endowed with its reduced induced structure. We prove that there is a projective variety $X_0$ over $k$ and a finite and surjective $K^{rm sep}$-morphism $X_{0,K^{rm sep}}to R_{K^{rm sep}}$, which is birational when ${rm char}(K)=0$." @default.
- W1517163760 created "2016-06-24" @default.
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- W1517163760 creator A5073921128 @default.
- W1517163760 date "2013-12-20" @default.
- W1517163760 modified "2023-09-27" @default.
- W1517163760 title "Rational points of varieties with ample cotangent bundle over function fields of positive characteristic" @default.
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