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Licensed Unlicensed Requires Authentication Published by De Gruyter November 23, 2009

Multilinear morphisms between 1-motives

  • Cristiana Bertolin

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

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