Rational ruled surfaces as symplectic hyperplane sections

Kwon, Myeonggi; Oba, Takahiro

doi:10.1090/tran/8919

Rational ruled surfaces as symplectic hyperplane sections
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by Myeonggi Kwon and Takahiro Oba;

Trans. Amer. Math. Soc. 376 (2023), 4811-4833

DOI: https://doi.org/10.1090/tran/8919

Published electronically: April 19, 2023

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Abstract:

We study embeddability of rational ruled surfaces as symplectic hyperplane sections into closed integral symplectic manifolds. From this we obtain results on Stein fillability of Boothby–Wang bundles over rational ruled surfaces.

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