The Voevodsky motive of a rank one semiabelian variety

Autor: Enright-Ward, Stephen
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
Popis: Over a perfect field k, let G be an extension of an abelian variety by the multiplicative group $\G_m$. We compute the motive of G in Voevodsky's category of etale motivic complexes with rational coefficients. The result is a decomposition similar to the classical decomposition of the Chow motive of an abelian variety obtained by Deninger/Murre, Kuennemann, Shermenev and Scholl, and other authors.
Comment: Ph.D. Thesis, 176 pages
Databáze: arXiv