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Biextensions of 1-Motives by 1-Motives

URN to cite this document:
Bertolin, Cristiana
Date of publication of this fulltext: 12 Apr 2010 05:46


Let S be a scheme and let Gi (i = 1; 2; 3) be an extension of an abelian S-scheme Ai by a S-torus Yi(1): We ¯rst sketch the proof of the following result: In the topos Tfppf , the category of biextensions of (G1;G2) by G3 is equivalent to the category of biextensions of (A1;A2) by Y3(1). Using this result, we de¯ne the notion of biextension of 1-motives by 1-motives. If M(S) denotes what should ...


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