Data di Pubblicazione:
2009
Citazione:
Sharp de Rham realization / L. Barbieri Viale, A. Bertapelle. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 222:4(2009), pp. 1308-1338.
Abstract:
We introduce the sharp (universal) extension of a 1-motive (with additive factors and torsion) over a field of characteristic zero. We define the sharp de Rham realization by passing to the Lie-algebra. Over the complex numbers we then show a (sharp de Rham) comparison theorem in the category of formal Hodge structures. For a free 1-motive along with its Cartier dual we get a canonical connection on their sharp extensions yielding a perfect pairing on sharp realizations. Thus we show how to provide one-dimensional sharp de Rham cohomology of algebraic varieties.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Motives ; de Rham cohomology ; Formal groups ; Cartier duality
Elenco autori:
L. Barbieri Viale, A. Bertapelle
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