Weak approximation for isotrivial families
-
Zhiyu Tian
and
Runhong Zong
Abstract
We prove weak approximation for isotrivial families of rationally connected varieties defined over the function field of a smooth projective complex curve.
Acknowledgements
Runhung Zong would like to thank Professor János Kollár for his constant support and encouraging comments. Both authors would like to thank Professor Jason Starr for introducing them to the question and many helpful discussions; Professor Chenyang Xu, Tommaso de Fernex, Martin Olsson, Vivek Shende, and Xinyi Yuan for comments and discussions; Doctor Qile Chen and Doctor Yi Zhu for reading part of the first draft and giving helpful comments.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Weak approximation for isotrivial families
- Genus of abstract modular curves with level-ℓ structures
- Strong shift equivalence and algebraic K-theory
- The solvable length of groups of local diffeomorphisms
- Positivity properties of metrics and delta-forms
- Iwasawa theory for the symmetric square of a modular form
- Cohomology and torsion cycles over the maximal cyclotomic extension
- Integrability of continuous bundles
- Kodaira dimension of moduli of special cubic fourfolds
Articles in the same Issue
- Frontmatter
- Weak approximation for isotrivial families
- Genus of abstract modular curves with level-ℓ structures
- Strong shift equivalence and algebraic K-theory
- The solvable length of groups of local diffeomorphisms
- Positivity properties of metrics and delta-forms
- Iwasawa theory for the symmetric square of a modular form
- Cohomology and torsion cycles over the maximal cyclotomic extension
- Integrability of continuous bundles
- Kodaira dimension of moduli of special cubic fourfolds
