Deligne's duality for de Rham realizations of 1-motives

Let M be a 1‐motive over a base scheme S and M ′ its Cartier dual. We show the existence of a canonical duality between the de Rham realizations of M and M ′; this generalizes a result in [5]. Furthermore, we study universal extensions of 1‐motives and their relation with ♮‐extensions (© 2009 WILEY‐...

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Bibliographic Details
Published inMathematische Nachrichten Vol. 282; no. 12; pp. 1637 - 1655
Main Author Bertapelle, Alessandra
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.12.2009
WILEY‐VCH Verlag
Subjects
1-motives
de Rham realization
universal extensions
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Summary:Let M be a 1‐motive over a base scheme S and M ′ its Cartier dual. We show the existence of a canonical duality between the de Rham realizations of M and M ′; this generalizes a result in [5]. Furthermore, we study universal extensions of 1‐motives and their relation with ♮‐extensions (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Bibliography:istex:BEA9FFC78687F0FD48ADAA345EA069EF550EF738
ark:/67375/WNG-42W03VMS-1
ArticleID:MANA200610816
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.200610816