Abstract
It has recently become clear that the construction of a p-adic height on an Abelian variety A eventually reduces to a splitting of the Hodge filtration of its de Rham cohomology. The present paper provides a natural description of this connection, based on the study of the universal vectorial extension of A , and of rigidified extensions of algebraic groups. Following a request of the editor, a detailed introduction to these topics has been included, in order to make the text as self-contained as possible.
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Zarhin, Y.G. (1990). p-Adic Heights on Abelian Varieties. In: Goldstein, C. (eds) Séminaire de Théorie des Nombres, Paris 1987–88. Progress in Mathematics, vol 22. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-5788-2_16
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DOI: https://doi.org/10.1007/978-1-4612-5788-2_16
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