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

✍ Scribed by Alessandra Bertapelle

• Book ID: 102492161
• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 269 KB
• Volume: 282
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200610816

✦ Synopsis

Abstract

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)