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- W2952327129 abstract "We consider the Jacobian Kummer surface $X$ of a genus two curve $C$. We prove that the Hutchinson-Weber involution on $X$ degenerates if and only if the Jacobian $J(C)$ is Comessatti. Also we give several conditions equivalent to this, which include the classical theorem of Humbert. The key notion is the Weber hexad. We include explanation of them and discuss the dependence between the conditions of main theorem for various Weber hexads. It results in the equivalence as dual six. We also give a detailed description of relevant moduli spaces. As an application, we give a conceptual proof of the computation of the patching subgroup for generic Hutchinson-Weber involutions." @default.
- W2952327129 created "2019-06-27" @default.
- W2952327129 creator A5066427814 @default.
- W2952327129 date "2010-05-18" @default.
- W2952327129 modified "2023-09-25" @default.
- W2952327129 title "Hutchinson-Weber involutions degenerate exactly when the Jacobian is Comessatti" @default.
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- W2952327129 doi "https://doi.org/10.48550/arxiv.1005.3203" @default.
- W2952327129 hasPublicationYear "2010" @default.
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