We use the crystalline nature of the universal extension of a 1-motive to define a canonical Gauss–Manin connection on the de Rham realization of . As an application we provide a construction of the so-called Manin map from a motivic point of view.
Universal extension crystals of 1-motives and applications / F. Andreatta, A. Bertapelle. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 215:8(2011 Aug), pp. 1919-1944.
Universal extension crystals of 1-motives and applications
F. AndreattaPrimo
;
2011
Abstract
We use the crystalline nature of the universal extension of a 1-motive to define a canonical Gauss–Manin connection on the de Rham realization of . As an application we provide a construction of the so-called Manin map from a motivic point of view.
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