article · Journal of Algebraic Geometry · 2018

Strong approximation over function fields

Cited by 2Abstract and details only

Abstract

By studying <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper A Superscript 1"> <mml:semantics> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">A</mml:mi> </mml:mrow> <mml:mn>1</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">\mathbb {A}^1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-curves on varieties, we propose a geometric approach to the strong approximation problem over function fields of complex curves. We prove that strong approximation holds for smooth, low degree affine complete intersections with smooth boundary at infinity.

Cite this paper

APA 7

Chen, Q., & Zhu, Y. (2018). Strong approximation over function fields. Journal of Algebraic Geometry, 27(4), 703–725. https://doi.org/10.1090/jag/706

MLA 9

Chen, Qile, and Yi Zhu. “Strong approximation over function fields.” Journal of Algebraic Geometry, vol. 27, no. 4, 2018, pp. 703–25, https://doi.org/10.1090/jag/706.

Chicago

Chen, Qile, and Yi Zhu. 2018. “Strong approximation over function fields.” Journal of Algebraic Geometry 27 (4): 703–25. https://doi.org/10.1090/jag/706.

Harvard

Chen, Q. and Zhu, Y. (2018) ‘Strong approximation over function fields’, Journal of Algebraic Geometry, 27(4), pp. 703–725. Available at: https://doi.org/10.1090/jag/706.

BibTeX

@article{chen2018strong,
  title = {{Strong approximation over function fields}},
  author = {Chen, Qile and Zhu, Yi},
  journal = {Journal of Algebraic Geometry},
  volume = {27},
  number = {4},
  pages = {703--725},
  year = {2018},
  doi = {10.1090/jag/706}
}

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