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- W4310537079 abstract "We establish a Lefschetz hyperplane theorem for the Berkovich analytifications of Jacobians of curves over an algebraically closed non-Archimedean field. Let $J$ be the Jacobian of a curve $X$, and let $W_d subset J$ be the locus of effective divisor classes of degree $d$. We show that the pair $(J^{an},W_d^{an})$ is $d$-connected, and thus in particular the inclusion of the analytification of the theta divisor $Theta^{an}$ into $J^{an}$ satisfies a Lefschetz hyperplane theorem for $mathbb{Z}$-cohomology groups and homotopy groups. A key ingredient in our proof is a generalization, over arbitrary characteristics and allowing arbitrary singularities on the base, of a result of Brown and Foster for the homotopy type of analytic projective bundles." @default.
- W4310537079 created "2022-12-11" @default.
- W4310537079 creator A5027015611 @default.
- W4310537079 date "2016-10-07" @default.
- W4310537079 modified "2023-09-23" @default.
- W4310537079 title "A Lefschetz Hyperplane Theorem for non-Archimedean Jacobians" @default.
- W4310537079 doi "https://doi.org/10.48550/arxiv.1610.02417" @default.
- W4310537079 hasPublicationYear "2016" @default.
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