Showing a limited preview of this publication:
Abstract
We introduce the notion of biextensions of 1-motives over an arbitrary scheme S and we define bilinear morphisms between 1-motives as isomorphism classes of such biextensions. If S is the spectrum of a field of characteristic 0, we check that these biextensions define bilinear morphisms between the realizations of 1-motives. Generalizing we obtain the notion of multilinear morphisms between 1-motives.
Received: 2007-12-20
Revised: 2008-05-16
Published Online: 2009-11-23
Published in Print: 2009-December
© Walter de Gruyter Berlin · New York 2009