English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We define and parametrise so-called $\mathfrak{sl}(2)$-type fibres of the$\mathsf{Sp}(2n,\mathbb{C})$- and $\mathsf{SO}(2n+1,\mathbb{C})$-Hitchinsystem. These are (singular) Hitchin fibres, where the spectral curve induces atwo-sheeted covering of a second Riemann surface $Y$. This identifies the$\mathfrak{sl}(2)$-type Hitchin fibres with fibres of an$\mathsf{SL}(2,\mathbb{C})$- respectively $\mathsf{PSL}(2,\mathbb{C})$-Hitchinmap on $Y$. We give a stratification of these singular spaces by semi-abelianspectral data, study their irreducible components and obtain a globaldescription of the first degenerations. Comparing the semi-abelian spectraldata of $\mathfrak{sl}(2)$-type Hitchin fibres for the two Langlands dualgroups, we extend the well-known Langlands duality of regular Hitchin fibres to$\mathfrak{sl}(2)$-type Hitchin fibres. Finally, we construct solutions to thedecoupled Hitchin equation for Higgs bundles of $\mathfrak{sl}(2)$-type. Weconjecture these to be limiting metrics along rays to the ends of the modulispace.

$\mathfrak{sl}(2)$-type singular fibres of the symplectic and odd orthogonal Hitchin system