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Ouvrages Année : 2023

Cocycles de groupe pour GL(n) et arrangements d'hyperplans

Pierre Charollois
  • Fonction : Auteur
Luis Garcia
  • Fonction : Auteur

Résumé

Many authors have constructed different, but related, linear group cocycles that are usually referred to as ``Eisenstein cocycles.'' The main goal of this work is to describe a topological construction that is a common source for all these cocycles. One interesting feature of this construction is that, starting from a purely topological class, it leads to the algebraic world of meromorphic forms on hyperplane complements in $n$-fold products of either the (complex) additive group, the multiplicative group or a (family of) elliptic curve(s). This yields the construction of three types of ``Sczech cocycles.''

Dates et versions

hal-03955119 , version 1 (24-01-2023)

Identifiants

Citer

Nicolas Bergeron, Pierre Charollois, Luis Garcia. Cocycles de groupe pour GL(n) et arrangements d'hyperplans. inPress, ⟨10.48550/arXiv.2301.09118⟩. ⟨hal-03955119⟩
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