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Publication Date:
November 2009
ISSN:
1435-5345
DOI:
10.1515/CRELLE.2009.093

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Journal für die reine und angewandte Mathematik

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Multilinear morphisms between 1-motives

Cristiana Bertolin1

1NWF-I Mathematik, Universität Regensburg, 93040 Regensburg. e-mail: cristiana.bertolin@mathematik.uni-regensburg.de

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2009, Issue 637, Pages 141–174, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2009.093, November 2009

Publication History:
Received:
2007-12-20
Revised:
2008-05-16
Published Online:
2009-11-23

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.

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