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 prove that the closure of every Jordan class   J   in a semisimple simply connected complex algebraic group   G   at a point   x   with Jordan decomposition    x  =  r  v    is smoothly equivalent to the union of closures of those Jordan classes in the centraliser of   r   that are contained in   J   and contain   x   in their closure. For   x   unipotent, we also show that the closure of   J   around   x   is smoothly equivalent to the closure of a Jordan class in    Lie  (  G  )    aroundexp   −  1    x   . For   G   simple we apply these results in order to determine a (non‐exhaustive) list of smooth sheets in   G  , the complete list of regular Jordan classes whose closure is normal and Cohen–Macaulay, and to prove that all sheets and Lusztig strata inSL  n    (  C  )are smooth.

Local geometry of Jordan classes in semisimple algebraic groups